Finding the Fourth Proportional to 1,097.60, 1,649.25 and 826.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.60 : 1,649.25 = 826.25 : x
2. Step 2: Convert to fraction form
   1,097.60/1,649.25 = 826.25/x
3. Step 3: Cross multiply
   1,097.60x = 1,649.25 × 826.25
4. Step 4: Simplify right side
   1,097.60x = 1,362,684.57
5. Step 5: Solve for x
   x = 1,362,684.57/1,097.60
6. Step 6: Final answer
   x = 1,241.52