Finding the Fourth Proportional to 2,082.71, 3,123.98 and 522.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.71 : 3,123.98 = 522.72 : x
2. Step 2: Convert to fraction form
   2,082.71/3,123.98 = 522.72/x
3. Step 3: Cross multiply
   2,082.71x = 3,123.98 × 522.72
4. Step 4: Simplify right side
   2,082.71x = 1,632,966.83
5. Step 5: Solve for x
   x = 1,632,966.83/2,082.71
6. Step 6: Final answer
   x = 784.06