Finding the Fourth Proportional to 2,542.52, 3,816.20 and 1,310.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,542.52 : 3,816.20 = 1,310.80 : x
2. Step 2: Convert to fraction form
   2,542.52/3,816.20 = 1,310.80/x
3. Step 3: Cross multiply
   2,542.52x = 3,816.20 × 1,310.80
4. Step 4: Simplify right side
   2,542.52x = 5,002,274.96
5. Step 5: Solve for x
   x = 5,002,274.96/2,542.52
6. Step 6: Final answer
   x = 1,967.45