Finding the Fourth Proportional to 10,723.33, 14,797.69 and 5,877.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,723.33 : 14,797.69 = 5,877.82 : x
2. Step 2: Convert to fraction form
   10,723.33/14,797.69 = 5,877.82/x
3. Step 3: Cross multiply
   10,723.33x = 14,797.69 × 5,877.82
4. Step 4: Simplify right side
   10,723.33x = 86,978,158.24
5. Step 5: Solve for x
   x = 86,978,158.24/10,723.33
6. Step 6: Final answer
   x = 8,111.11