Finding the Fourth Proportional to 1,501.51, 2,071.98 and 829.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.51 : 2,071.98 = 829.29 : x
2. Step 2: Convert to fraction form
   1,501.51/2,071.98 = 829.29/x
3. Step 3: Cross multiply
   1,501.51x = 2,071.98 × 829.29
4. Step 4: Simplify right side
   1,501.51x = 1,718,268.41
5. Step 5: Solve for x
   x = 1,718,268.41/1,501.51
6. Step 6: Final answer
   x = 1,144.36