Finding the Fourth Proportional to 76.71, 105.89 and 45.63

Step by Step Solution

1. Step 1: Write the proportion equation
   76.71 : 105.89 = 45.63 : x
2. Step 2: Convert to fraction form
   76.71/105.89 = 45.63/x
3. Step 3: Cross multiply
   76.71x = 105.89 × 45.63
4. Step 4: Simplify right side
   76.71x = 4,831.76
5. Step 5: Solve for x
   x = 4,831.76/76.71
6. Step 6: Final answer
   x = 62.99