Finding the Fourth Proportional to 1,371.60, 1,892.84 and 782.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,371.60 : 1,892.84 = 782.15 : x
2. Step 2: Convert to fraction form
   1,371.60/1,892.84 = 782.15/x
3. Step 3: Cross multiply
   1,371.60x = 1,892.84 × 782.15
4. Step 4: Simplify right side
   1,371.60x = 1,480,471.43
5. Step 5: Solve for x
   x = 1,480,471.43/1,371.60
6. Step 6: Final answer
   x = 1,079.38