Finding the Fourth Proportional to 2,099.37, 3,146.99 and 782.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,099.37 : 3,146.99 = 782.15 : x
2. Step 2: Convert to fraction form
   2,099.37/3,146.99 = 782.15/x
3. Step 3: Cross multiply
   2,099.37x = 3,146.99 × 782.15
4. Step 4: Simplify right side
   2,099.37x = 2,461,428.05
5. Step 5: Solve for x
   x = 2,461,428.05/2,099.37
6. Step 6: Final answer
   x = 1,172.46