Finding the Fourth Proportional to 1,365.96, 2,046.50 and 830.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.96 : 2,046.50 = 830.71 : x
2. Step 2: Convert to fraction form
   1,365.96/2,046.50 = 830.71/x
3. Step 3: Cross multiply
   1,365.96x = 2,046.50 × 830.71
4. Step 4: Simplify right side
   1,365.96x = 1,700,033.63
5. Step 5: Solve for x
   x = 1,700,033.63/1,365.96
6. Step 6: Final answer
   x = 1,244.57