Finding the Fourth Proportional to 1,410.98, 1,947.26 and 781.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.98 : 1,947.26 = 781.56 : x
2. Step 2: Convert to fraction form
   1,410.98/1,947.26 = 781.56/x
3. Step 3: Cross multiply
   1,410.98x = 1,947.26 × 781.56
4. Step 4: Simplify right side
   1,410.98x = 1,521,900.53
5. Step 5: Solve for x
   x = 1,521,900.53/1,410.98
6. Step 6: Final answer
   x = 1,078.61