Finding the Fourth Proportional to 10,157.58, 14,016.12 and 5,681.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,157.58 : 14,016.12 = 5,681.16 : x
2. Step 2: Convert to fraction form
   10,157.58/14,016.12 = 5,681.16/x
3. Step 3: Cross multiply
   10,157.58x = 14,016.12 × 5,681.16
4. Step 4: Simplify right side
   10,157.58x = 79,627,820.30
5. Step 5: Solve for x
   x = 79,627,820.30/10,157.58
6. Step 6: Final answer
   x = 7,839.25