Finding the Fourth Proportional to 2,041.78, 2,816.56 and 1,294.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,041.78 : 2,816.56 = 1,294.42 : x
2. Step 2: Convert to fraction form
   2,041.78/2,816.56 = 1,294.42/x
3. Step 3: Cross multiply
   2,041.78x = 2,816.56 × 1,294.42
4. Step 4: Simplify right side
   2,041.78x = 3,645,811.60
5. Step 5: Solve for x
   x = 3,645,811.60/2,041.78
6. Step 6: Final answer
   x = 1,785.60