Finding the Fourth Proportional to 10,086.72, 13,917.64 and 5,894.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086.72 : 13,917.64 = 5,894.16 : x
2. Step 2: Convert to fraction form
   10,086.72/13,917.64 = 5,894.16/x
3. Step 3: Cross multiply
   10,086.72x = 13,917.64 × 5,894.16
4. Step 4: Simplify right side
   10,086.72x = 82,032,796.98
5. Step 5: Solve for x
   x = 82,032,796.98/10,086.72
6. Step 6: Final answer
   x = 8,132.75