Finding the Fourth Proportional to 3,760.91, 5,194.15 and 2,585.39

Step by Step Solution

1. Step 1: Write the proportion equation
   3,760.91 : 5,194.15 = 2,585.39 : x
2. Step 2: Convert to fraction form
   3,760.91/5,194.15 = 2,585.39/x
3. Step 3: Cross multiply
   3,760.91x = 5,194.15 × 2,585.39
4. Step 4: Simplify right side
   3,760.91x = 13,428,903.47
5. Step 5: Solve for x
   x = 13,428,903.47/3,760.91
6. Step 6: Final answer
   x = 3,570.65