Finding the Fourth Proportional to 10,017.62, 13,823.42 and 5,767.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,017.62 : 13,823.42 = 5,767.55 : x
2. Step 2: Convert to fraction form
   10,017.62/13,823.42 = 5,767.55/x
3. Step 3: Cross multiply
   10,017.62x = 13,823.42 × 5,767.55
4. Step 4: Simplify right side
   10,017.62x = 79,727,168.07
5. Step 5: Solve for x
   x = 79,727,168.07/10,017.62
6. Step 6: Final answer
   x = 7,958.70