Finding the Fourth Proportional to 1,501.97, 2,072.76 and 829.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.97 : 2,072.76 = 829.82 : x
2. Step 2: Convert to fraction form
   1,501.97/2,072.76 = 829.82/x
3. Step 3: Cross multiply
   1,501.97x = 2,072.76 × 829.82
4. Step 4: Simplify right side
   1,501.97x = 1,720,017.70
5. Step 5: Solve for x
   x = 1,720,017.70/1,501.97
6. Step 6: Final answer
   x = 1,145.17