Finding the Fourth Proportional to 11,706.71, 17,569.28 and 5,137.43

Step by Step Solution

1. Step 1: Write the proportion equation
   11,706.71 : 17,569.28 = 5,137.43 : x
2. Step 2: Convert to fraction form
   11,706.71/17,569.28 = 5,137.43/x
3. Step 3: Cross multiply
   11,706.71x = 17,569.28 × 5,137.43
4. Step 4: Simplify right side
   11,706.71x = 90,260,871.15
5. Step 5: Solve for x
   x = 90,260,871.15/11,706.71
6. Step 6: Final answer
   x = 7,710.19