Finding the Fourth Proportional to 10,621.74, 14,658.38 and 5,842.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,621.74 : 14,658.38 = 5,842.05 : x
2. Step 2: Convert to fraction form
   10,621.74/14,658.38 = 5,842.05/x
3. Step 3: Cross multiply
   10,621.74x = 14,658.38 × 5,842.05
4. Step 4: Simplify right side
   10,621.74x = 85,634,959.67
5. Step 5: Solve for x
   x = 85,634,959.67/10,621.74
6. Step 6: Final answer
   x = 8,062.23