Finding the Fourth Proportional to 7,742.49, 10,689.07 and 5,097.59

Step by Step Solution

1. Step 1: Write the proportion equation
   7,742.49 : 10,689.07 = 5,097.59 : x
2. Step 2: Convert to fraction form
   7,742.49/10,689.07 = 5,097.59/x
3. Step 3: Cross multiply
   7,742.49x = 10,689.07 × 5,097.59
4. Step 4: Simplify right side
   7,742.49x = 54,488,496.34
5. Step 5: Solve for x
   x = 54,488,496.34/7,742.49
6. Step 6: Final answer
   x = 7,037.59