Finding the Fourth Proportional to 11,752.50, 17,634.48 and 5,177.86

Step by Step Solution

1. Step 1: Write the proportion equation
   11,752.50 : 17,634.48 = 5,177.86 : x
2. Step 2: Convert to fraction form
   11,752.50/17,634.48 = 5,177.86/x
3. Step 3: Cross multiply
   11,752.50x = 17,634.48 × 5,177.86
4. Step 4: Simplify right side
   11,752.50x = 91,308,868.61
5. Step 5: Solve for x
   x = 91,308,868.61/11,752.50
6. Step 6: Final answer
   x = 7,769.31