Finding the Fourth Proportional to 1,410.56, 1,946.48 and 781.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.56 : 1,946.48 = 781.06 : x
2. Step 2: Convert to fraction form
   1,410.56/1,946.48 = 781.06/x
3. Step 3: Cross multiply
   1,410.56x = 1,946.48 × 781.06
4. Step 4: Simplify right side
   1,410.56x = 1,520,317.67
5. Step 5: Solve for x
   x = 1,520,317.67/1,410.56
6. Step 6: Final answer
   x = 1,077.81