Finding the Fourth Proportional to 9,516.68, 13,132.31 and 5,537.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,516.68 : 13,132.31 = 5,537.10 : x
2. Step 2: Convert to fraction form
   9,516.68/13,132.31 = 5,537.10/x
3. Step 3: Cross multiply
   9,516.68x = 13,132.31 × 5,537.10
4. Step 4: Simplify right side
   9,516.68x = 72,714,886.02
5. Step 5: Solve for x
   x = 72,714,886.02/9,516.68
6. Step 6: Final answer
   x = 7,640.79