Finding the Fourth Proportional to 10,827.72, 14,914.20 and 10,101.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,827.72 : 14,914.20 = 10,101.96 : x
2. Step 2: Convert to fraction form
   10,827.72/14,914.20 = 10,101.96/x
3. Step 3: Cross multiply
   10,827.72x = 14,914.20 × 10,101.96
4. Step 4: Simplify right side
   10,827.72x = 150,662,651.83
5. Step 5: Solve for x
   x = 150,662,651.83/10,827.72
6. Step 6: Final answer
   x = 13,914.53