Finding the Fourth Proportional to 10,622.28, 14,659.12 and 5,842.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,622.28 : 14,659.12 = 5,842.59 : x
2. Step 2: Convert to fraction form
   10,622.28/14,659.12 = 5,842.59/x
3. Step 3: Cross multiply
   10,622.28x = 14,659.12 × 5,842.59
4. Step 4: Simplify right side
   10,622.28x = 85,647,227.92
5. Step 5: Solve for x
   x = 85,647,227.92/10,622.28
6. Step 6: Final answer
   x = 8,062.98