Finding the Fourth Proportional to 11.48, 15.78 and 10.00

Step by Step Solution

1. Step 1: Write the proportion equation
   11.48 : 15.78 = 10.00 : x
2. Step 2: Convert to fraction form
   11.48/15.78 = 10.00/x
3. Step 3: Cross multiply
   11.48x = 15.78 × 10.00
4. Step 4: Simplify right side
   11.48x = 157.72
5. Step 5: Solve for x
   x = 157.72/11.48
6. Step 6: Final answer
   x = 13.74