Finding the Fourth Proportional to 1,451.24, 2,002.50 and 830.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,451.24 : 2,002.50 = 830.12 : x
2. Step 2: Convert to fraction form
   1,451.24/2,002.50 = 830.12/x
3. Step 3: Cross multiply
   1,451.24x = 2,002.50 × 830.12
4. Step 4: Simplify right side
   1,451.24x = 1,662,315.30
5. Step 5: Solve for x
   x = 1,662,315.30/1,451.24
6. Step 6: Final answer
   x = 1,145.44