Finding the Fourth Proportional to 10,585.96, 14,608.14 and 5,870.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.96 : 14,608.14 = 5,870.20 : x
2. Step 2: Convert to fraction form
   10,585.96/14,608.14 = 5,870.20/x
3. Step 3: Cross multiply
   10,585.96x = 14,608.14 × 5,870.20
4. Step 4: Simplify right side
   10,585.96x = 85,752,703.43
5. Step 5: Solve for x
   x = 85,752,703.43/10,585.96
6. Step 6: Final answer
   x = 8,100.61