Finding the Fourth Proportional to 10,585.16, 14,606.98 and 5,870.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.16 : 14,606.98 = 5,870.20 : x
2. Step 2: Convert to fraction form
   10,585.16/14,606.98 = 5,870.20/x
3. Step 3: Cross multiply
   10,585.16x = 14,606.98 × 5,870.20
4. Step 4: Simplify right side
   10,585.16x = 85,745,894.00
5. Step 5: Solve for x
   x = 85,745,894.00/10,585.16
6. Step 6: Final answer
   x = 8,100.58