Finding the Fourth Proportional to 10,605.24, 14,635.35 and 5,825.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,605.24 : 14,635.35 = 5,825.30 : x
2. Step 2: Convert to fraction form
   10,605.24/14,635.35 = 5,825.30/x
3. Step 3: Cross multiply
   10,605.24x = 14,635.35 × 5,825.30
4. Step 4: Simplify right side
   10,605.24x = 85,255,276.33
5. Step 5: Solve for x
   x = 85,255,276.33/10,605.24
6. Step 6: Final answer
   x = 8,038.98