Finding the Fourth Proportional to 2,585.80, 3,878.89 and 737.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.80 : 3,878.89 = 737.07 : x
2. Step 2: Convert to fraction form
   2,585.80/3,878.89 = 737.07/x
3. Step 3: Cross multiply
   2,585.80x = 3,878.89 × 737.07
4. Step 4: Simplify right side
   2,585.80x = 2,858,997.06
5. Step 5: Solve for x
   x = 2,858,997.06/2,585.80
6. Step 6: Final answer
   x = 1,105.65