Finding the Fourth Proportional to 1,372.34, 1,893.80 and 782.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,372.34 : 1,893.80 = 782.82 : x
2. Step 2: Convert to fraction form
   1,372.34/1,893.80 = 782.82/x
3. Step 3: Cross multiply
   1,372.34x = 1,893.80 × 782.82
4. Step 4: Simplify right side
   1,372.34x = 1,482,504.52
5. Step 5: Solve for x
   x = 1,482,504.52/1,372.34
6. Step 6: Final answer
   x = 1,080.27