Finding the Fourth Proportional to 2,470.77, 3,406.33 and 1,585.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,470.77 : 3,406.33 = 1,585.04 : x
2. Step 2: Convert to fraction form
   2,470.77/3,406.33 = 1,585.04/x
3. Step 3: Cross multiply
   2,470.77x = 3,406.33 × 1,585.04
4. Step 4: Simplify right side
   2,470.77x = 5,399,148.31
5. Step 5: Solve for x
   x = 5,399,148.31/2,470.77
6. Step 6: Final answer
   x = 2,185.21