Finding the Fourth Proportional to 28.34, 42.50 and 10.06

Step by Step Solution

1. Step 1: Write the proportion equation
   28.34 : 42.50 = 10.06 : x
2. Step 2: Convert to fraction form
   28.34/42.50 = 10.06/x
3. Step 3: Cross multiply
   28.34x = 42.50 × 10.06
4. Step 4: Simplify right side
   28.34x = 427.55
5. Step 5: Solve for x
   x = 427.55/28.34
6. Step 6: Final answer
   x = 15.09