Finding the Fourth Proportional to 2,098.73, 3,148.29 and 782.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,098.73 : 3,148.29 = 782.55 : x
2. Step 2: Convert to fraction form
   2,098.73/3,148.29 = 782.55/x
3. Step 3: Cross multiply
   2,098.73x = 3,148.29 × 782.55
4. Step 4: Simplify right side
   2,098.73x = 2,463,694.34
5. Step 5: Solve for x
   x = 2,463,694.34/2,098.73
6. Step 6: Final answer
   x = 1,173.90