Finding the Fourth Proportional to 1,100.79, 1,649.36 and 823.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.79 : 1,649.36 = 823.31 : x
2. Step 2: Convert to fraction form
   1,100.79/1,649.36 = 823.31/x
3. Step 3: Cross multiply
   1,100.79x = 1,649.36 × 823.31
4. Step 4: Simplify right side
   1,100.79x = 1,357,943.86
5. Step 5: Solve for x
   x = 1,357,943.86/1,100.79
6. Step 6: Final answer
   x = 1,233.61