Finding the Fourth Proportional to 1,521.78, 2,100.06 and 823.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,521.78 : 2,100.06 = 823.16 : x
2. Step 2: Convert to fraction form
   1,521.78/2,100.06 = 823.16/x
3. Step 3: Cross multiply
   1,521.78x = 2,100.06 × 823.16
4. Step 4: Simplify right side
   1,521.78x = 1,728,674.89
5. Step 5: Solve for x
   x = 1,728,674.89/1,521.78
6. Step 6: Final answer
   x = 1,135.96