Finding the Fourth Proportional to 2,510.24, 3,760.32 and 1,538.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,510.24 : 3,760.32 = 1,538.24 : x
2. Step 2: Convert to fraction form
   2,510.24/3,760.32 = 1,538.24/x
3. Step 3: Cross multiply
   2,510.24x = 3,760.32 × 1,538.24
4. Step 4: Simplify right side
   2,510.24x = 5,784,274.64
5. Step 5: Solve for x
   x = 5,784,274.64/2,510.24
6. Step 6: Final answer
   x = 2,304.27