Finding the Fourth Proportional to 2,591.86, 3,601.62 and 2,565.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,591.86 : 3,601.62 = 2,565.22 : x
2. Step 2: Convert to fraction form
   2,591.86/3,601.62 = 2,565.22/x
3. Step 3: Cross multiply
   2,591.86x = 3,601.62 × 2,565.22
4. Step 4: Simplify right side
   2,591.86x = 9,238,934.83
5. Step 5: Solve for x
   x = 9,238,934.83/2,591.86
6. Step 6: Final answer
   x = 3,564.60