Finding the Fourth Proportional to 10,155.06, 14,014.68 and 5,678.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,155.06 : 14,014.68 = 5,678.72 : x
2. Step 2: Convert to fraction form
   10,155.06/14,014.68 = 5,678.72/x
3. Step 3: Cross multiply
   10,155.06x = 14,014.68 × 5,678.72
4. Step 4: Simplify right side
   10,155.06x = 79,585,443.61
5. Step 5: Solve for x
   x = 79,585,443.61/10,155.06
6. Step 6: Final answer
   x = 7,837.02