Finding the Fourth Proportional to 10,565.16, 14,579.72 and 5,849.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,565.16 : 14,579.72 = 5,849.48 : x
2. Step 2: Convert to fraction form
   10,565.16/14,579.72 = 5,849.48/x
3. Step 3: Cross multiply
   10,565.16x = 14,579.72 × 5,849.48
4. Step 4: Simplify right side
   10,565.16x = 85,283,780.55
5. Step 5: Solve for x
   x = 85,283,780.55/10,565.16
6. Step 6: Final answer
   x = 8,072.17