Finding the Fourth Proportional to 10,085.76, 13,916.88 and 5,609.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,085.76 : 13,916.88 = 5,609.64 : x
2. Step 2: Convert to fraction form
   10,085.76/13,916.88 = 5,609.64/x
3. Step 3: Cross multiply
   10,085.76x = 13,916.88 × 5,609.64
4. Step 4: Simplify right side
   10,085.76x = 78,068,686.72
5. Step 5: Solve for x
   x = 78,068,686.72/10,085.76
6. Step 6: Final answer
   x = 7,740.49