Finding the Fourth Proportional to 10,622.53, 14,659.31 and 5,842.43

Step by Step Solution

1. Step 1: Write the proportion equation
   10,622.53 : 14,659.31 = 5,842.43 : x
2. Step 2: Convert to fraction form
   10,622.53/14,659.31 = 5,842.43/x
3. Step 3: Cross multiply
   10,622.53x = 14,659.31 × 5,842.43
4. Step 4: Simplify right side
   10,622.53x = 85,645,992.52
5. Step 5: Solve for x
   x = 85,645,992.52/10,622.53
6. Step 6: Final answer
   x = 8,062.67