Finding the Fourth Proportional to 10,102.72, 13,942.72 and 5,910.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.72 : 13,942.72 = 5,910.08 : x
2. Step 2: Convert to fraction form
   10,102.72/13,942.72 = 5,910.08/x
3. Step 3: Cross multiply
   10,102.72x = 13,942.72 × 5,910.08
4. Step 4: Simplify right side
   10,102.72x = 82,402,590.62
5. Step 5: Solve for x
   x = 82,402,590.62/10,102.72
6. Step 6: Final answer
   x = 8,156.48