Finding the Fourth Proportional to 1,371.96, 1,892.84 and 782.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,371.96 : 1,892.84 = 782.08 : x
2. Step 2: Convert to fraction form
   1,371.96/1,892.84 = 782.08/x
3. Step 3: Cross multiply
   1,371.96x = 1,892.84 × 782.08
4. Step 4: Simplify right side
   1,371.96x = 1,480,352.31
5. Step 5: Solve for x
   x = 1,480,352.31/1,371.96
6. Step 6: Final answer
   x = 1,079.01