Finding the Fourth Proportional to 1,521.69, 2,099.93 and 823.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,521.69 : 2,099.93 = 823.06 : x
2. Step 2: Convert to fraction form
   1,521.69/2,099.93 = 823.06/x
3. Step 3: Cross multiply
   1,521.69x = 2,099.93 × 823.06
4. Step 4: Simplify right side
   1,521.69x = 1,728,366.90
5. Step 5: Solve for x
   x = 1,728,366.90/1,521.69
6. Step 6: Final answer
   x = 1,135.82