Finding the Fourth Proportional to 10,157.55, 14,016.78 and 5,681.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,157.55 : 14,016.78 = 5,681.64 : x
2. Step 2: Convert to fraction form
   10,157.55/14,016.78 = 5,681.64/x
3. Step 3: Cross multiply
   10,157.55x = 14,016.78 × 5,681.64
4. Step 4: Simplify right side
   10,157.55x = 79,638,297.92
5. Step 5: Solve for x
   x = 79,638,297.92/10,157.55
6. Step 6: Final answer
   x = 7,840.31