Finding the Fourth Proportional to 1,377.72, 2,063.42 and 829.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.72 : 2,063.42 = 829.26 : x
2. Step 2: Convert to fraction form
   1,377.72/2,063.42 = 829.26/x
3. Step 3: Cross multiply
   1,377.72x = 2,063.42 × 829.26
4. Step 4: Simplify right side
   1,377.72x = 1,711,111.67
5. Step 5: Solve for x
   x = 1,711,111.67/1,377.72
6. Step 6: Final answer
   x = 1,241.99