Finding the Fourth Proportional to 2,099.46, 3,148.20 and 782.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,099.46 : 3,148.20 = 782.76 : x
2. Step 2: Convert to fraction form
   2,099.46/3,148.20 = 782.76/x
3. Step 3: Cross multiply
   2,099.46x = 3,148.20 × 782.76
4. Step 4: Simplify right side
   2,099.46x = 2,464,285.03
5. Step 5: Solve for x
   x = 2,464,285.03/2,099.46
6. Step 6: Final answer
   x = 1,173.77