Finding the Fourth Proportional to 76.63, 105.63 and 52.06

Step by Step Solution

1. Step 1: Write the proportion equation
   76.63 : 105.63 = 52.06 : x
2. Step 2: Convert to fraction form
   76.63/105.63 = 52.06/x
3. Step 3: Cross multiply
   76.63x = 105.63 × 52.06
4. Step 4: Simplify right side
   76.63x = 5,499.10
5. Step 5: Solve for x
   x = 5,499.10/76.63
6. Step 6: Final answer
   x = 71.76