Finding the Fourth Proportional to 9,384.26, 12,950.37 and 5,192.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,384.26 : 12,950.37 = 5,192.50 : x
2. Step 2: Convert to fraction form
   9,384.26/12,950.37 = 5,192.50/x
3. Step 3: Cross multiply
   9,384.26x = 12,950.37 × 5,192.50
4. Step 4: Simplify right side
   9,384.26x = 67,244,796.23
5. Step 5: Solve for x
   x = 67,244,796.23/9,384.26
6. Step 6: Final answer
   x = 7,165.70