Finding the Fourth Proportional to 1,444.64, 1,993.61 and 781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,444.64 : 1,993.61 = 781.50 : x
2. Step 2: Convert to fraction form
   1,444.64/1,993.61 = 781.50/x
3. Step 3: Cross multiply
   1,444.64x = 1,993.61 × 781.50
4. Step 4: Simplify right side
   1,444.64x = 1,557,998.19
5. Step 5: Solve for x
   x = 1,557,998.19/1,444.64
6. Step 6: Final answer
   x = 1,078.46