Finding the Fourth Proportional to 5,105.52, 7,658.60 and 1,642.52

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.52 : 7,658.60 = 1,642.52 : x
2. Step 2: Convert to fraction form
   5,105.52/7,658.60 = 1,642.52/x
3. Step 3: Cross multiply
   5,105.52x = 7,658.60 × 1,642.52
4. Step 4: Simplify right side
   5,105.52x = 12,579,403.67
5. Step 5: Solve for x
   x = 12,579,403.67/5,105.52
6. Step 6: Final answer
   x = 2,463.88