Finding the Fourth Proportional to 10,114.56, 13,954.98 and 5,864.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.56 : 13,954.98 = 5,864.76 : x
2. Step 2: Convert to fraction form
   10,114.56/13,954.98 = 5,864.76/x
3. Step 3: Cross multiply
   10,114.56x = 13,954.98 × 5,864.76
4. Step 4: Simplify right side
   10,114.56x = 81,842,608.50
5. Step 5: Solve for x
   x = 81,842,608.50/10,114.56
6. Step 6: Final answer
   x = 8,091.56