Finding the Fourth Proportional to 686,098.50, 946,801.81 and 380,172.21

Step by Step Solution

1. Step 1: Write the proportion equation
   686,098.50 : 946,801.81 = 380,172.21 : x
2. Step 2: Convert to fraction form
   686,098.50/946,801.81 = 380,172.21/x
3. Step 3: Cross multiply
   686,098.50x = 946,801.81 × 380,172.21
4. Step 4: Simplify right side
   686,098.50x = 359,947,736,127.29
5. Step 5: Solve for x
   x = 359,947,736,127.29/686,098.50
6. Step 6: Final answer
   x = 524,629.82