Finding the Fourth Proportional to 11,856.75, 17,783.65 and 7,414.81

Step by Step Solution

1. Step 1: Write the proportion equation
   11,856.75 : 17,783.65 = 7,414.81 : x
2. Step 2: Convert to fraction form
   11,856.75/17,783.65 = 7,414.81/x
3. Step 3: Cross multiply
   11,856.75x = 17,783.65 × 7,414.81
4. Step 4: Simplify right side
   11,856.75x = 131,862,385.86
5. Step 5: Solve for x
   x = 131,862,385.86/11,856.75
6. Step 6: Final answer
   x = 11,121.29