Finding the Fourth Proportional to 2,099.62, 3,147.37 and 782.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,099.62 : 3,147.37 = 782.40 : x
2. Step 2: Convert to fraction form
   2,099.62/3,147.37 = 782.40/x
3. Step 3: Cross multiply
   2,099.62x = 3,147.37 × 782.40
4. Step 4: Simplify right side
   2,099.62x = 2,462,502.29
5. Step 5: Solve for x
   x = 2,462,502.29/2,099.62
6. Step 6: Final answer
   x = 1,172.83