Finding the Fourth Proportional to 1,402.72, 2,104.88 and 826

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.72 : 2,104.88 = 826 : x
2. Step 2: Convert to fraction form
   1,402.72/2,104.88 = 826/x
3. Step 3: Cross multiply
   1,402.72x = 2,104.88 × 826
4. Step 4: Simplify right side
   1,402.72x = 1,738,630.88
5. Step 5: Solve for x
   x = 1,738,630.88/1,402.72
6. Step 6: Final answer
   x = 1,239.47