Finding the Fourth Proportional to 76.56, 105.54 and 55.83

Step by Step Solution

1. Step 1: Write the proportion equation
   76.56 : 105.54 = 55.83 : x
2. Step 2: Convert to fraction form
   76.56/105.54 = 55.83/x
3. Step 3: Cross multiply
   76.56x = 105.54 × 55.83
4. Step 4: Simplify right side
   76.56x = 5,892.30
5. Step 5: Solve for x
   x = 5,892.30/76.56
6. Step 6: Final answer
   x = 76.96