Finding the Fourth Proportional to 10,565.65, 14,580.57 and 5,850.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,565.65 : 14,580.57 = 5,850.10 : x
2. Step 2: Convert to fraction form
   10,565.65/14,580.57 = 5,850.10/x
3. Step 3: Cross multiply
   10,565.65x = 14,580.57 × 5,850.10
4. Step 4: Simplify right side
   10,565.65x = 85,297,792.56
5. Step 5: Solve for x
   x = 85,297,792.56/10,565.65
6. Step 6: Final answer
   x = 8,073.12