Finding the Fourth Proportional to 2,585.48, 3,567.93 and 1,406.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.48 : 3,567.93 = 1,406.55 : x
2. Step 2: Convert to fraction form
   2,585.48/3,567.93 = 1,406.55/x
3. Step 3: Cross multiply
   2,585.48x = 3,567.93 × 1,406.55
4. Step 4: Simplify right side
   2,585.48x = 5,018,471.94
5. Step 5: Solve for x
   x = 5,018,471.94/2,585.48
6. Step 6: Final answer
   x = 1,941.02