Finding the Fourth Proportional to 2,099.96, 3,147.89 and 782.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,099.96 : 3,147.89 = 782.75 : x
2. Step 2: Convert to fraction form
   2,099.96/3,147.89 = 782.75/x
3. Step 3: Cross multiply
   2,099.96x = 3,147.89 × 782.75
4. Step 4: Simplify right side
   2,099.96x = 2,464,006.98
5. Step 5: Solve for x
   x = 2,464,006.98/2,099.96
6. Step 6: Final answer
   x = 1,173.36