Finding the Fourth Proportional to 1,410.45, 1,946.41 and 781.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.45 : 1,946.41 = 781.00 : x
2. Step 2: Convert to fraction form
   1,410.45/1,946.41 = 781.00/x
3. Step 3: Cross multiply
   1,410.45x = 1,946.41 × 781.00
4. Step 4: Simplify right side
   1,410.45x = 1,520,132.57
5. Step 5: Solve for x
   x = 1,520,132.57/1,410.45
6. Step 6: Final answer
   x = 1,077.76