Finding the Fourth Proportional to 1,411.47, 1,947.78 and 782.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.47 : 1,947.78 = 782.01 : x
2. Step 2: Convert to fraction form
   1,411.47/1,947.78 = 782.01/x
3. Step 3: Cross multiply
   1,411.47x = 1,947.78 × 782.01
4. Step 4: Simplify right side
   1,411.47x = 1,523,183.44
5. Step 5: Solve for x
   x = 1,523,183.44/1,411.47
6. Step 6: Final answer
   x = 1,079.15