Finding the Fourth Proportional to 2,082.76, 3,124.02 and 784.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.76 : 3,124.02 = 784.12 : x
2. Step 2: Convert to fraction form
   2,082.76/3,124.02 = 784.12/x
3. Step 3: Cross multiply
   2,082.76x = 3,124.02 × 784.12
4. Step 4: Simplify right side
   2,082.76x = 2,449,606.56
5. Step 5: Solve for x
   x = 2,449,606.56/2,082.76
6. Step 6: Final answer
   x = 1,176.13