Finding the Fourth Proportional to 1,155.51, 1,730.70 and 829.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.51 : 1,730.70 = 829.89 : x
2. Step 2: Convert to fraction form
   1,155.51/1,730.70 = 829.89/x
3. Step 3: Cross multiply
   1,155.51x = 1,730.70 × 829.89
4. Step 4: Simplify right side
   1,155.51x = 1,436,290.62
5. Step 5: Solve for x
   x = 1,436,290.62/1,155.51
6. Step 6: Final answer
   x = 1,242.99