Finding the Fourth Proportional to 2,128.77, 3,190.71 and 829.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,128.77 : 3,190.71 = 829.14 : x
2. Step 2: Convert to fraction form
   2,128.77/3,190.71 = 829.14/x
3. Step 3: Cross multiply
   2,128.77x = 3,190.71 × 829.14
4. Step 4: Simplify right side
   2,128.77x = 2,645,545.29
5. Step 5: Solve for x
   x = 2,645,545.29/2,128.77
6. Step 6: Final answer
   x = 1,242.76