Finding the Fourth Proportional to 2,427.31, 3,641.57 and 783.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,427.31 : 3,641.57 = 783.82 : x
2. Step 2: Convert to fraction form
   2,427.31/3,641.57 = 783.82/x
3. Step 3: Cross multiply
   2,427.31x = 3,641.57 × 783.82
4. Step 4: Simplify right side
   2,427.31x = 2,854,335.40
5. Step 5: Solve for x
   x = 2,854,335.40/2,427.31
6. Step 6: Final answer
   x = 1,175.93