Finding the Fourth Proportional to 11,566.63, 17,377.64 and 7,414.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,566.63 : 17,377.64 = 7,414.75 : x
2. Step 2: Convert to fraction form
   11,566.63/17,377.64 = 7,414.75/x
3. Step 3: Cross multiply
   11,566.63x = 17,377.64 × 7,414.75
4. Step 4: Simplify right side
   11,566.63x = 128,850,856.19
5. Step 5: Solve for x
   x = 128,850,856.19/11,566.63
6. Step 6: Final answer
   x = 11,139.88