Finding the Fourth Proportional to 10,565.72, 15,843.45 and 5,298.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,565.72 : 15,843.45 = 5,298.47 : x
2. Step 2: Convert to fraction form
   10,565.72/15,843.45 = 5,298.47/x
3. Step 3: Cross multiply
   10,565.72x = 15,843.45 × 5,298.47
4. Step 4: Simplify right side
   10,565.72x = 83,946,044.52
5. Step 5: Solve for x
   x = 83,946,044.52/10,565.72
6. Step 6: Final answer
   x = 7,945.13