Finding the Fourth Proportional to 10,585.86, 14,608.41 and 5,870.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.86 : 14,608.41 = 5,870.16 : x
2. Step 2: Convert to fraction form
   10,585.86/14,608.41 = 5,870.16/x
3. Step 3: Cross multiply
   10,585.86x = 14,608.41 × 5,870.16
4. Step 4: Simplify right side
   10,585.86x = 85,753,704.05
5. Step 5: Solve for x
   x = 85,753,704.05/10,585.86
6. Step 6: Final answer
   x = 8,100.78