Finding the Fourth Proportional to 10,155.29, 14,013.34 and 5,678.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,155.29 : 14,013.34 = 5,678.42 : x
2. Step 2: Convert to fraction form
   10,155.29/14,013.34 = 5,678.42/x
3. Step 3: Cross multiply
   10,155.29x = 14,013.34 × 5,678.42
4. Step 4: Simplify right side
   10,155.29x = 79,573,630.12
5. Step 5: Solve for x
   x = 79,573,630.12/10,155.29
6. Step 6: Final answer
   x = 7,835.68