Finding the Fourth Proportional to 2,585.10, 3,877.59 and 736.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.10 : 3,877.59 = 736.35 : x
2. Step 2: Convert to fraction form
   2,585.10/3,877.59 = 736.35/x
3. Step 3: Cross multiply
   2,585.10x = 3,877.59 × 736.35
4. Step 4: Simplify right side
   2,585.10x = 2,855,263.40
5. Step 5: Solve for x
   x = 2,855,263.40/2,585.10
6. Step 6: Final answer
   x = 1,104.51