Finding the Fourth Proportional to 1,410.74, 1,946.72 and 781.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.74 : 1,946.72 = 781.20 : x
2. Step 2: Convert to fraction form
   1,410.74/1,946.72 = 781.20/x
3. Step 3: Cross multiply
   1,410.74x = 1,946.72 × 781.20
4. Step 4: Simplify right side
   1,410.74x = 1,520,773.76
5. Step 5: Solve for x
   x = 1,520,773.76/1,410.74
6. Step 6: Final answer
   x = 1,078.00