Finding the Fourth Proportional to 1,377.73, 2,065.06 and 830.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.73 : 2,065.06 = 830.30 : x
2. Step 2: Convert to fraction form
   1,377.73/2,065.06 = 830.30/x
3. Step 3: Cross multiply
   1,377.73x = 2,065.06 × 830.30
4. Step 4: Simplify right side
   1,377.73x = 1,714,619.32
5. Step 5: Solve for x
   x = 1,714,619.32/1,377.73
6. Step 6: Final answer
   x = 1,244.52