Finding the Fourth Proportional to 10.37, 15.54 and 5.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10.37 : 15.54 = 5.02 : x
2. Step 2: Convert to fraction form
   10.37/15.54 = 5.02/x
3. Step 3: Cross multiply
   10.37x = 15.54 × 5.02
4. Step 4: Simplify right side
   10.37x = 78.01
5. Step 5: Solve for x
   x = 78.01/10.37
6. Step 6: Final answer
   x = 7.52