Finding the Fourth Proportional to 1,271.94, 1,756.23 and 830.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,271.94 : 1,756.23 = 830.10 : x
2. Step 2: Convert to fraction form
   1,271.94/1,756.23 = 830.10/x
3. Step 3: Cross multiply
   1,271.94x = 1,756.23 × 830.10
4. Step 4: Simplify right side
   1,271.94x = 1,457,846.52
5. Step 5: Solve for x
   x = 1,457,846.52/1,271.94
6. Step 6: Final answer
   x = 1,146.16