Finding the Fourth Proportional to 10,102.05, 15,156.72 and 5,174.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.05 : 15,156.72 = 5,174.01 : x
2. Step 2: Convert to fraction form
   10,102.05/15,156.72 = 5,174.01/x
3. Step 3: Cross multiply
   10,102.05x = 15,156.72 × 5,174.01
4. Step 4: Simplify right side
   10,102.05x = 78,421,020.85
5. Step 5: Solve for x
   x = 78,421,020.85/10,102.05
6. Step 6: Final answer
   x = 7,762.88