Finding the Fourth Proportional to 10,102.55, 15,157.47 and 5,174.51

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.55 : 15,157.47 = 5,174.51 : x
2. Step 2: Convert to fraction form
   10,102.55/15,157.47 = 5,174.51/x
3. Step 3: Cross multiply
   10,102.55x = 15,157.47 × 5,174.51
4. Step 4: Simplify right side
   10,102.55x = 78,432,404.30
5. Step 5: Solve for x
   x = 78,432,404.30/10,102.55
6. Step 6: Final answer
   x = 7,763.63