Finding the Fourth Proportional to 2,661.50, 3,992.89 and 837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,661.50 : 3,992.89 = 837.50 : x
2. Step 2: Convert to fraction form
   2,661.50/3,992.89 = 837.50/x
3. Step 3: Cross multiply
   2,661.50x = 3,992.89 × 837.50
4. Step 4: Simplify right side
   2,661.50x = 3,344,045.38
5. Step 5: Solve for x
   x = 3,344,045.38/2,661.50
6. Step 6: Final answer
   x = 1,256.45