Finding the Fourth Proportional to 2,492.78, 3,742.61 and 1,565.73

Step by Step Solution

1. Step 1: Write the proportion equation
   2,492.78 : 3,742.61 = 1,565.73 : x
2. Step 2: Convert to fraction form
   2,492.78/3,742.61 = 1,565.73/x
3. Step 3: Cross multiply
   2,492.78x = 3,742.61 × 1,565.73
4. Step 4: Simplify right side
   2,492.78x = 5,859,908.93
5. Step 5: Solve for x
   x = 5,859,908.93/2,492.78
6. Step 6: Final answer
   x = 2,350.76