Finding the Fourth Proportional to 2,158.61, 3,238.49 and 772.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,158.61 : 3,238.49 = 772.09 : x
2. Step 2: Convert to fraction form
   2,158.61/3,238.49 = 772.09/x
3. Step 3: Cross multiply
   2,158.61x = 3,238.49 × 772.09
4. Step 4: Simplify right side
   2,158.61x = 2,500,385.69
5. Step 5: Solve for x
   x = 2,500,385.69/2,158.61
6. Step 6: Final answer
   x = 1,158.33