Finding the Fourth Proportional to 1,501.24, 2,071.69 and 829.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.24 : 2,071.69 = 829.08 : x
2. Step 2: Convert to fraction form
   1,501.24/2,071.69 = 829.08/x
3. Step 3: Cross multiply
   1,501.24x = 2,071.69 × 829.08
4. Step 4: Simplify right side
   1,501.24x = 1,717,594.67
5. Step 5: Solve for x
   x = 1,717,594.67/1,501.24
6. Step 6: Final answer
   x = 1,144.12