Finding the Fourth Proportional to 1,411.63, 1,947.98 and 782.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.63 : 1,947.98 = 782.15 : x
2. Step 2: Convert to fraction form
   1,411.63/1,947.98 = 782.15/x
3. Step 3: Cross multiply
   1,411.63x = 1,947.98 × 782.15
4. Step 4: Simplify right side
   1,411.63x = 1,523,614.51
5. Step 5: Solve for x
   x = 1,523,614.51/1,411.63
6. Step 6: Final answer
   x = 1,079.33