Finding the Fourth Proportional to 686,128.50, 946,857.42 and 384,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   686,128.50 : 946,857.42 = 384,322.50 : x
2. Step 2: Convert to fraction form
   686,128.50/946,857.42 = 384,322.50/x
3. Step 3: Cross multiply
   686,128.50x = 946,857.42 × 384,322.50
4. Step 4: Simplify right side
   686,128.50x = 363,898,610,797.95
5. Step 5: Solve for x
   x = 363,898,610,797.95/686,128.50
6. Step 6: Final answer
   x = 530,365.10