Finding the Fourth Proportional to 2,585.88, 3,876.69 and 1,025.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.88 : 3,876.69 = 1,025.22 : x
2. Step 2: Convert to fraction form
   2,585.88/3,876.69 = 1,025.22/x
3. Step 3: Cross multiply
   2,585.88x = 3,876.69 × 1,025.22
4. Step 4: Simplify right side
   2,585.88x = 3,974,460.12
5. Step 5: Solve for x
   x = 3,974,460.12/2,585.88
6. Step 6: Final answer
   x = 1,536.99