Finding the Fourth Proportional to 10,455.77, 15,663.83 and 5,768.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,455.77 : 15,663.83 = 5,768.75 : x
2. Step 2: Convert to fraction form
   10,455.77/15,663.83 = 5,768.75/x
3. Step 3: Cross multiply
   10,455.77x = 15,663.83 × 5,768.75
4. Step 4: Simplify right side
   10,455.77x = 90,360,612.15
5. Step 5: Solve for x
   x = 90,360,612.15/10,455.77
6. Step 6: Final answer
   x = 8,642.18