Finding the Fourth Proportional to 10,458.61, 14,432.90 and 5,743.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,458.61 : 14,432.90 = 5,743.20 : x
2. Step 2: Convert to fraction form
   10,458.61/14,432.90 = 5,743.20/x
3. Step 3: Cross multiply
   10,458.61x = 14,432.90 × 5,743.20
4. Step 4: Simplify right side
   10,458.61x = 82,891,031.28
5. Step 5: Solve for x
   x = 82,891,031.28/10,458.61
6. Step 6: Final answer
   x = 7,925.63