Finding the Fourth Proportional to 1,754.16, 2,629.86 and 830.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,754.16 : 2,629.86 = 830.10 : x
2. Step 2: Convert to fraction form
   1,754.16/2,629.86 = 830.10/x
3. Step 3: Cross multiply
   1,754.16x = 2,629.86 × 830.10
4. Step 4: Simplify right side
   1,754.16x = 2,183,046.79
5. Step 5: Solve for x
   x = 2,183,046.79/1,754.16
6. Step 6: Final answer
   x = 1,244.50