Finding the Fourth Proportional to 1,807.76, 2,494.56 and 1,022

Step by Step Solution

1. Step 1: Write the proportion equation
   1,807.76 : 2,494.56 = 1,022 : x
2. Step 2: Convert to fraction form
   1,807.76/2,494.56 = 1,022/x
3. Step 3: Cross multiply
   1,807.76x = 2,494.56 × 1,022
4. Step 4: Simplify right side
   1,807.76x = 2,549,440.32
5. Step 5: Solve for x
   x = 2,549,440.32/1,807.76
6. Step 6: Final answer
   x = 1,410.28