Finding the Fourth Proportional to 1,100.98, 1,649.91 and 826.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.98 : 1,649.91 = 826.75 : x
2. Step 2: Convert to fraction form
   1,100.98/1,649.91 = 826.75/x
3. Step 3: Cross multiply
   1,100.98x = 1,649.91 × 826.75
4. Step 4: Simplify right side
   1,100.98x = 1,364,063.09
5. Step 5: Solve for x
   x = 1,364,063.09/1,100.98
6. Step 6: Final answer
   x = 1,238.95