Finding the Fourth Proportional to 1,410.55, 1,946.69 and 781.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.55 : 1,946.69 = 781.23 : x
2. Step 2: Convert to fraction form
   1,410.55/1,946.69 = 781.23/x
3. Step 3: Cross multiply
   1,410.55x = 1,946.69 × 781.23
4. Step 4: Simplify right side
   1,410.55x = 1,520,812.63
5. Step 5: Solve for x
   x = 1,520,812.63/1,410.55
6. Step 6: Final answer
   x = 1,078.17