Finding the Fourth Proportional to 2,507.61, 3,758.46 and 1,025.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,507.61 : 3,758.46 = 1,025.91 : x
2. Step 2: Convert to fraction form
   2,507.61/3,758.46 = 1,025.91/x
3. Step 3: Cross multiply
   2,507.61x = 3,758.46 × 1,025.91
4. Step 4: Simplify right side
   2,507.61x = 3,855,841.70
5. Step 5: Solve for x
   x = 3,855,841.70/2,507.61
6. Step 6: Final answer
   x = 1,537.66