Finding the Fourth Proportional to 12,382.69, 17,088.14 and 7,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,382.69 : 17,088.14 = 7,077.50 : x
2. Step 2: Convert to fraction form
   12,382.69/17,088.14 = 7,077.50/x
3. Step 3: Cross multiply
   12,382.69x = 17,088.14 × 7,077.50
4. Step 4: Simplify right side
   12,382.69x = 120,941,243.10
5. Step 5: Solve for x
   x = 120,941,243.10/12,382.69
6. Step 6: Final answer
   x = 9,766.96