Finding the Fourth Proportional to 10,155.83, 14,014.94 and 5,679.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,155.83 : 14,014.94 = 5,679.53 : x
2. Step 2: Convert to fraction form
   10,155.83/14,014.94 = 5,679.53/x
3. Step 3: Cross multiply
   10,155.83x = 14,014.94 × 5,679.53
4. Step 4: Simplify right side
   10,155.83x = 79,598,202.10
5. Step 5: Solve for x
   x = 79,598,202.10/10,155.83
6. Step 6: Final answer
   x = 7,837.69