Finding the Fourth Proportional to 1,411.51, 1,947.81 and 782.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.51 : 1,947.81 = 782.02 : x
2. Step 2: Convert to fraction form
   1,411.51/1,947.81 = 782.02/x
3. Step 3: Cross multiply
   1,411.51x = 1,947.81 × 782.02
4. Step 4: Simplify right side
   1,411.51x = 1,523,226.38
5. Step 5: Solve for x
   x = 1,523,226.38/1,411.51
6. Step 6: Final answer
   x = 1,079.15