Finding the Fourth Proportional to 1,451.78, 2,003.73 and 830.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,451.78 : 2,003.73 = 830.78 : x
2. Step 2: Convert to fraction form
   1,451.78/2,003.73 = 830.78/x
3. Step 3: Cross multiply
   1,451.78x = 2,003.73 × 830.78
4. Step 4: Simplify right side
   1,451.78x = 1,664,661.74
5. Step 5: Solve for x
   x = 1,664,661.74/1,451.78
6. Step 6: Final answer
   x = 1,146.63