Finding the Fourth Proportional to 9,916.31, 13,684.77 and 5,609.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,916.31 : 13,684.77 = 5,609.06 : x
2. Step 2: Convert to fraction form
   9,916.31/13,684.77 = 5,609.06/x
3. Step 3: Cross multiply
   9,916.31x = 13,684.77 × 5,609.06
4. Step 4: Simplify right side
   9,916.31x = 76,758,627.59
5. Step 5: Solve for x
   x = 76,758,627.59/9,916.31
6. Step 6: Final answer
   x = 7,740.64