Finding the Fourth Proportional to 11,677.25, 16,114.61 and 7,485.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,677.25 : 16,114.61 = 7,485.50 : x
2. Step 2: Convert to fraction form
   11,677.25/16,114.61 = 7,485.50/x
3. Step 3: Cross multiply
   11,677.25x = 16,114.61 × 7,485.50
4. Step 4: Simplify right side
   11,677.25x = 120,625,875.73
5. Step 5: Solve for x
   x = 120,625,875.73/11,677.25
6. Step 6: Final answer
   x = 10,329.99