Finding the Fourth Proportional to 2,782.34, 4,172.29 and 834.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.34 : 4,172.29 = 834.09 : x
2. Step 2: Convert to fraction form
   2,782.34/4,172.29 = 834.09/x
3. Step 3: Cross multiply
   2,782.34x = 4,172.29 × 834.09
4. Step 4: Simplify right side
   2,782.34x = 3,480,065.37
5. Step 5: Solve for x
   x = 3,480,065.37/2,782.34
6. Step 6: Final answer
   x = 1,250.77