Finding the Fourth Proportional to 10,114.34, 15,174.46 and 5,187.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.34 : 15,174.46 = 5,187.41 : x
2. Step 2: Convert to fraction form
   10,114.34/15,174.46 = 5,187.41/x
3. Step 3: Cross multiply
   10,114.34x = 15,174.46 × 5,187.41
4. Step 4: Simplify right side
   10,114.34x = 78,716,133.06
5. Step 5: Solve for x
   x = 78,716,133.06/10,114.34
6. Step 6: Final answer
   x = 7,782.63