Finding the Fourth Proportional to 1,411.42, 1,947.82 and 781.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.42 : 1,947.82 = 781.96 : x
2. Step 2: Convert to fraction form
   1,411.42/1,947.82 = 781.96/x
3. Step 3: Cross multiply
   1,411.42x = 1,947.82 × 781.96
4. Step 4: Simplify right side
   1,411.42x = 1,523,117.33
5. Step 5: Solve for x
   x = 1,523,117.33/1,411.42
6. Step 6: Final answer
   x = 1,079.14