Finding the Fourth Proportional to 2,082.98, 3,123.86 and 784.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.98 : 3,123.86 = 784.14 : x
2. Step 2: Convert to fraction form
   2,082.98/3,123.86 = 784.14/x
3. Step 3: Cross multiply
   2,082.98x = 3,123.86 × 784.14
4. Step 4: Simplify right side
   2,082.98x = 2,449,539.66
5. Step 5: Solve for x
   x = 2,449,539.66/2,082.98
6. Step 6: Final answer
   x = 1,175.98