Finding the Fourth Proportional to 2,566.92, 3,856.72 and 1,642.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.92 : 3,856.72 = 1,642.88 : x
2. Step 2: Convert to fraction form
   2,566.92/3,856.72 = 1,642.88/x
3. Step 3: Cross multiply
   2,566.92x = 3,856.72 × 1,642.88
4. Step 4: Simplify right side
   2,566.92x = 6,336,128.15
5. Step 5: Solve for x
   x = 6,336,128.15/2,566.92
6. Step 6: Final answer
   x = 2,468.38