Finding the Fourth Proportional to 2,633.24, 3,633.72 and 1,585.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,633.24 : 3,633.72 = 1,585.10 : x
2. Step 2: Convert to fraction form
   2,633.24/3,633.72 = 1,585.10/x
3. Step 3: Cross multiply
   2,633.24x = 3,633.72 × 1,585.10
4. Step 4: Simplify right side
   2,633.24x = 5,759,809.57
5. Step 5: Solve for x
   x = 5,759,809.57/2,633.24
6. Step 6: Final answer
   x = 2,187.35