Finding the Fourth Proportional to 2,541.76, 3,814.98 and 1,310.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,541.76 : 3,814.98 = 1,310.02 : x
2. Step 2: Convert to fraction form
   2,541.76/3,814.98 = 1,310.02/x
3. Step 3: Cross multiply
   2,541.76x = 3,814.98 × 1,310.02
4. Step 4: Simplify right side
   2,541.76x = 4,997,700.10
5. Step 5: Solve for x
   x = 4,997,700.10/2,541.76
6. Step 6: Final answer
   x = 1,966.24