Finding the Fourth Proportional to 11,706.83, 17,569.47 and 5,137.55

Step by Step Solution

1. Step 1: Write the proportion equation
   11,706.83 : 17,569.47 = 5,137.55 : x
2. Step 2: Convert to fraction form
   11,706.83/17,569.47 = 5,137.55/x
3. Step 3: Cross multiply
   11,706.83x = 17,569.47 × 5,137.55
4. Step 4: Simplify right side
   11,706.83x = 90,264,030.60
5. Step 5: Solve for x
   x = 90,264,030.60/11,706.83
6. Step 6: Final answer
   x = 7,710.37