Finding the Fourth Proportional to 10,567.02, 14,582.77 and 5,787.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,567.02 : 14,582.77 = 5,787.23 : x
2. Step 2: Convert to fraction form
   10,567.02/14,582.77 = 5,787.23/x
3. Step 3: Cross multiply
   10,567.02x = 14,582.77 × 5,787.23
4. Step 4: Simplify right side
   10,567.02x = 84,393,815.09
5. Step 5: Solve for x
   x = 84,393,815.09/10,567.02
6. Step 6: Final answer
   x = 7,986.53