Finding the Fourth Proportional to 10,585.96, 15,874.30 and 5,654.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.96 : 15,874.30 = 5,654.48 : x
2. Step 2: Convert to fraction form
   10,585.96/15,874.30 = 5,654.48/x
3. Step 3: Cross multiply
   10,585.96x = 15,874.30 × 5,654.48
4. Step 4: Simplify right side
   10,585.96x = 89,760,911.86
5. Step 5: Solve for x
   x = 89,760,911.86/10,585.96
6. Step 6: Final answer
   x = 8,479.24