Finding the Fourth Proportional to 1,451.62, 2,003.29 and 830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,451.62 : 2,003.29 = 830.50 : x
2. Step 2: Convert to fraction form
   1,451.62/2,003.29 = 830.50/x
3. Step 3: Cross multiply
   1,451.62x = 2,003.29 × 830.50
4. Step 4: Simplify right side
   1,451.62x = 1,663,732.35
5. Step 5: Solve for x
   x = 1,663,732.35/1,451.62
6. Step 6: Final answer
   x = 1,146.12