Finding the Fourth Proportional to 10,155.24, 14,013.27 and 5,678.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,155.24 : 14,013.27 = 5,678.37 : x
2. Step 2: Convert to fraction form
   10,155.24/14,013.27 = 5,678.37/x
3. Step 3: Cross multiply
   10,155.24x = 14,013.27 × 5,678.37
4. Step 4: Simplify right side
   10,155.24x = 79,572,531.97
5. Step 5: Solve for x
   x = 79,572,531.97/10,155.24
6. Step 6: Final answer
   x = 7,835.61