Finding the Fourth Proportional to 2,784.42, 4,153.91 and 2,565.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.42 : 4,153.91 = 2,565.72 : x
2. Step 2: Convert to fraction form
   2,784.42/4,153.91 = 2,565.72/x
3. Step 3: Cross multiply
   2,784.42x = 4,153.91 × 2,565.72
4. Step 4: Simplify right side
   2,784.42x = 10,657,757.14
5. Step 5: Solve for x
   x = 10,657,757.14/2,784.42
6. Step 6: Final answer
   x = 3,827.64