Finding the Fourth Proportional to 2,427.83, 3,642.10 and 783.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,427.83 : 3,642.10 = 783.83 : x
2. Step 2: Convert to fraction form
   2,427.83/3,642.10 = 783.83/x
3. Step 3: Cross multiply
   2,427.83x = 3,642.10 × 783.83
4. Step 4: Simplify right side
   2,427.83x = 2,854,767.07
5. Step 5: Solve for x
   x = 2,854,767.07/2,427.83
6. Step 6: Final answer
   x = 1,175.85