Finding the Fourth Proportional to 1,410.68, 1,946.58 and 781.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.68 : 1,946.58 = 781.22 : x
2. Step 2: Convert to fraction form
   1,410.68/1,946.58 = 781.22/x
3. Step 3: Cross multiply
   1,410.68x = 1,946.58 × 781.22
4. Step 4: Simplify right side
   1,410.68x = 1,520,707.23
5. Step 5: Solve for x
   x = 1,520,707.23/1,410.68
6. Step 6: Final answer
   x = 1,078.00