Finding the Fourth Proportional to 10,621.78, 14,658.43 and 5,842.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,621.78 : 14,658.43 = 5,842.09 : x
2. Step 2: Convert to fraction form
   10,621.78/14,658.43 = 5,842.09/x
3. Step 3: Cross multiply
   10,621.78x = 14,658.43 × 5,842.09
4. Step 4: Simplify right side
   10,621.78x = 85,635,867.32
5. Step 5: Solve for x
   x = 85,635,867.32/10,621.78
6. Step 6: Final answer
   x = 8,062.29