Finding the Fourth Proportional to 7,643.57, 10,542.71 and 5,749.08

Step by Step Solution

1. Step 1: Write the proportion equation
   7,643.57 : 10,542.71 = 5,749.08 : x
2. Step 2: Convert to fraction form
   7,643.57/10,542.71 = 5,749.08/x
3. Step 3: Cross multiply
   7,643.57x = 10,542.71 × 5,749.08
4. Step 4: Simplify right side
   7,643.57x = 60,610,825.71
5. Step 5: Solve for x
   x = 60,610,825.71/7,643.57
6. Step 6: Final answer
   x = 7,929.65