Finding the Fourth Proportional to 2,542.64, 3,816.12 and 1,004.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,542.64 : 3,816.12 = 1,004.72 : x
2. Step 2: Convert to fraction form
   2,542.64/3,816.12 = 1,004.72/x
3. Step 3: Cross multiply
   2,542.64x = 3,816.12 × 1,004.72
4. Step 4: Simplify right side
   2,542.64x = 3,834,132.09
5. Step 5: Solve for x
   x = 3,834,132.09/2,542.64
6. Step 6: Final answer
   x = 1,507.93