Finding the Fourth Proportional to 10,211.78, 14,093.18 and 5,736.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,211.78 : 14,093.18 = 5,736.64 : x
2. Step 2: Convert to fraction form
   10,211.78/14,093.18 = 5,736.64/x
3. Step 3: Cross multiply
   10,211.78x = 14,093.18 × 5,736.64
4. Step 4: Simplify right side
   10,211.78x = 80,847,500.12
5. Step 5: Solve for x
   x = 80,847,500.12/10,211.78
6. Step 6: Final answer
   x = 7,917.08