Finding the Fourth Proportional to 10,218.50, 14,101.54 and 5,742.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,218.50 : 14,101.54 = 5,742.25 : x
2. Step 2: Convert to fraction form
   10,218.50/14,101.54 = 5,742.25/x
3. Step 3: Cross multiply
   10,218.50x = 14,101.54 × 5,742.25
4. Step 4: Simplify right side
   10,218.50x = 80,974,568.07
5. Step 5: Solve for x
   x = 80,974,568.07/10,218.50
6. Step 6: Final answer
   x = 7,924.31