Finding the Fourth Proportional to 10,016.52, 13,821.96 and 5,767.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,016.52 : 13,821.96 = 5,767.35 : x
2. Step 2: Convert to fraction form
   10,016.52/13,821.96 = 5,767.35/x
3. Step 3: Cross multiply
   10,016.52x = 13,821.96 × 5,767.35
4. Step 4: Simplify right side
   10,016.52x = 79,716,081.01
5. Step 5: Solve for x
   x = 79,716,081.01/10,016.52
6. Step 6: Final answer
   x = 7,958.46