Finding the Fourth Proportional to 11,506.71, 17,259.89 and 5,177.12

Step by Step Solution

1. Step 1: Write the proportion equation
   11,506.71 : 17,259.89 = 5,177.12 : x
2. Step 2: Convert to fraction form
   11,506.71/17,259.89 = 5,177.12/x
3. Step 3: Cross multiply
   11,506.71x = 17,259.89 × 5,177.12
4. Step 4: Simplify right side
   11,506.71x = 89,356,534.66
5. Step 5: Solve for x
   x = 89,356,534.66/11,506.71
6. Step 6: Final answer
   x = 7,765.60