Finding the Fourth Proportional to 2,870.42, 4,323.77 and 2,565.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,870.42 : 4,323.77 = 2,565.86 : x
2. Step 2: Convert to fraction form
   2,870.42/4,323.77 = 2,565.86/x
3. Step 3: Cross multiply
   2,870.42x = 4,323.77 × 2,565.86
4. Step 4: Simplify right side
   2,870.42x = 11,094,188.49
5. Step 5: Solve for x
   x = 11,094,188.49/2,870.42
6. Step 6: Final answer
   x = 3,865.01