Finding the Fourth Proportional to 2,566.02, 3,849.42 and 834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.02 : 3,849.42 = 834.50 : x
2. Step 2: Convert to fraction form
   2,566.02/3,849.42 = 834.50/x
3. Step 3: Cross multiply
   2,566.02x = 3,849.42 × 834.50
4. Step 4: Simplify right side
   2,566.02x = 3,212,340.99
5. Step 5: Solve for x
   x = 3,212,340.99/2,566.02
6. Step 6: Final answer
   x = 1,251.88