Finding the Fourth Proportional to 76.69, 105.83 and 42.19

Step by Step Solution

1. Step 1: Write the proportion equation
   76.69 : 105.83 = 42.19 : x
2. Step 2: Convert to fraction form
   76.69/105.83 = 42.19/x
3. Step 3: Cross multiply
   76.69x = 105.83 × 42.19
4. Step 4: Simplify right side
   76.69x = 4,464.65
5. Step 5: Solve for x
   x = 4,464.65/76.69
6. Step 6: Final answer
   x = 58.22