Finding the Fourth Proportional to 10,155.78, 14,014.74 and 5,679.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,155.78 : 14,014.74 = 5,679.60 : x
2. Step 2: Convert to fraction form
   10,155.78/14,014.74 = 5,679.60/x
3. Step 3: Cross multiply
   10,155.78x = 14,014.74 × 5,679.60
4. Step 4: Simplify right side
   10,155.78x = 79,598,117.30
5. Step 5: Solve for x
   x = 79,598,117.30/10,155.78
6. Step 6: Final answer
   x = 7,837.72