Finding the Fourth Proportional to 10,434.52, 15,643.53 and 5,165.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,434.52 : 15,643.53 = 5,165.80 : x
2. Step 2: Convert to fraction form
   10,434.52/15,643.53 = 5,165.80/x
3. Step 3: Cross multiply
   10,434.52x = 15,643.53 × 5,165.80
4. Step 4: Simplify right side
   10,434.52x = 80,811,347.27
5. Step 5: Solve for x
   x = 80,811,347.27/10,434.52
6. Step 6: Final answer
   x = 7,744.62