Finding the Fourth Proportional to 1,450.51, 2,001.74 and 820.99

Step by Step Solution

1. Step 1: Write the proportion equation
   1,450.51 : 2,001.74 = 820.99 : x
2. Step 2: Convert to fraction form
   1,450.51/2,001.74 = 820.99/x
3. Step 3: Cross multiply
   1,450.51x = 2,001.74 × 820.99
4. Step 4: Simplify right side
   1,450.51x = 1,643,400.57
5. Step 5: Solve for x
   x = 1,643,400.57/1,450.51
6. Step 6: Final answer
   x = 1,132.99