Finding the Fourth Proportional to 10,622.17, 14,658.78 and 5,842.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,622.17 : 14,658.78 = 5,842.63 : x
2. Step 2: Convert to fraction form
   10,622.17/14,658.78 = 5,842.63/x
3. Step 3: Cross multiply
   10,622.17x = 14,658.78 × 5,842.63
4. Step 4: Simplify right side
   10,622.17x = 85,645,827.79
5. Step 5: Solve for x
   x = 85,645,827.79/10,622.17
6. Step 6: Final answer
   x = 8,062.93