Finding the Fourth Proportional to 1,359.92, 1,876.40 and 829.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,359.92 : 1,876.40 = 829.10 : x
2. Step 2: Convert to fraction form
   1,359.92/1,876.40 = 829.10/x
3. Step 3: Cross multiply
   1,359.92x = 1,876.40 × 829.10
4. Step 4: Simplify right side
   1,359.92x = 1,555,726.89
5. Step 5: Solve for x
   x = 1,555,726.89/1,359.92
6. Step 6: Final answer
   x = 1,143.98