Finding the Fourth Proportional to 10,583.92, 14,606.67 and 5,868.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,583.92 : 14,606.67 = 5,868.10 : x
2. Step 2: Convert to fraction form
   10,583.92/14,606.67 = 5,868.10/x
3. Step 3: Cross multiply
   10,583.92x = 14,606.67 × 5,868.10
4. Step 4: Simplify right side
   10,583.92x = 85,713,400.23
5. Step 5: Solve for x
   x = 85,713,400.23/10,583.92
6. Step 6: Final answer
   x = 8,098.46