Finding the Fourth Proportional to 2,342.34, 3,513.58 and 782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,342.34 : 3,513.58 = 782.50 : x
2. Step 2: Convert to fraction form
   2,342.34/3,513.58 = 782.50/x
3. Step 3: Cross multiply
   2,342.34x = 3,513.58 × 782.50
4. Step 4: Simplify right side
   2,342.34x = 2,749,376.35
5. Step 5: Solve for x
   x = 2,749,376.35/2,342.34
6. Step 6: Final answer
   x = 1,173.77