Finding the Fourth Proportional to 10,585.15, 14,606.53 and 5,868.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.15 : 14,606.53 = 5,868.52 : x
2. Step 2: Convert to fraction form
   10,585.15/14,606.53 = 5,868.52/x
3. Step 3: Cross multiply
   10,585.15x = 14,606.53 × 5,868.52
4. Step 4: Simplify right side
   10,585.15x = 85,718,713.44
5. Step 5: Solve for x
   x = 85,718,713.44/10,585.15
6. Step 6: Final answer
   x = 8,098.02