Finding the Fourth Proportional to 2,098.82, 3,147.14 and 782.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,098.82 : 3,147.14 = 782.04 : x
2. Step 2: Convert to fraction form
   2,098.82/3,147.14 = 782.04/x
3. Step 3: Cross multiply
   2,098.82x = 3,147.14 × 782.04
4. Step 4: Simplify right side
   2,098.82x = 2,461,189.37
5. Step 5: Solve for x
   x = 2,461,189.37/2,098.82
6. Step 6: Final answer
   x = 1,172.65