Finding the Fourth Proportional to 1,342.41, 1,852.30 and 782.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,342.41 : 1,852.30 = 782.70 : x
2. Step 2: Convert to fraction form
   1,342.41/1,852.30 = 782.70/x
3. Step 3: Cross multiply
   1,342.41x = 1,852.30 × 782.70
4. Step 4: Simplify right side
   1,342.41x = 1,449,789.24
5. Step 5: Solve for x
   x = 1,449,789.24/1,342.41
6. Step 6: Final answer
   x = 1,079.99