Finding the Fourth Proportional to 1,023.32, 1,410.46 and 783.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.32 : 1,410.46 = 783.96 : x
2. Step 2: Convert to fraction form
   1,023.32/1,410.46 = 783.96/x
3. Step 3: Cross multiply
   1,023.32x = 1,410.46 × 783.96
4. Step 4: Simplify right side
   1,023.32x = 1,105,744.22
5. Step 5: Solve for x
   x = 1,105,744.22/1,023.32
6. Step 6: Final answer
   x = 1,080.55