Finding the Fourth Proportional to 7,742.86, 10,689.57 and 5,097.96

Step by Step Solution

1. Step 1: Write the proportion equation
   7,742.86 : 10,689.57 = 5,097.96 : x
2. Step 2: Convert to fraction form
   7,742.86/10,689.57 = 5,097.96/x
3. Step 3: Cross multiply
   7,742.86x = 10,689.57 × 5,097.96
4. Step 4: Simplify right side
   7,742.86x = 54,495,000.28
5. Step 5: Solve for x
   x = 54,495,000.28/7,742.86
6. Step 6: Final answer
   x = 7,038.10