Finding the Fourth Proportional to 12,166.40, 16,784.16 and 7,385.60

Step by Step Solution

1. Step 1: Write the proportion equation
   12,166.40 : 16,784.16 = 7,385.60 : x
2. Step 2: Convert to fraction form
   12,166.40/16,784.16 = 7,385.60/x
3. Step 3: Cross multiply
   12,166.40x = 16,784.16 × 7,385.60
4. Step 4: Simplify right side
   12,166.40x = 123,961,092.10
5. Step 5: Solve for x
   x = 123,961,092.10/12,166.40
6. Step 6: Final answer
   x = 10,188.81