Finding the Fourth Proportional to 2,342.82, 3,514.59 and 782.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,342.82 : 3,514.59 = 782.34 : x
2. Step 2: Convert to fraction form
   2,342.82/3,514.59 = 782.34/x
3. Step 3: Cross multiply
   2,342.82x = 3,514.59 × 782.34
4. Step 4: Simplify right side
   2,342.82x = 2,749,604.34
5. Step 5: Solve for x
   x = 2,749,604.34/2,342.82
6. Step 6: Final answer
   x = 1,173.63