Finding the Fourth Proportional to 10,022.57, 13,832.18 and 5,773.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.57 : 13,832.18 = 5,773.77 : x
2. Step 2: Convert to fraction form
   10,022.57/13,832.18 = 5,773.77/x
3. Step 3: Cross multiply
   10,022.57x = 13,832.18 × 5,773.77
4. Step 4: Simplify right side
   10,022.57x = 79,863,825.92
5. Step 5: Solve for x
   x = 79,863,825.92/10,022.57
6. Step 6: Final answer
   x = 7,968.40