Finding the Fourth Proportional to 91.83, 137.78 and 34.05

Step by Step Solution

1. Step 1: Write the proportion equation
   91.83 : 137.78 = 34.05 : x
2. Step 2: Convert to fraction form
   91.83/137.78 = 34.05/x
3. Step 3: Cross multiply
   91.83x = 137.78 × 34.05
4. Step 4: Simplify right side
   91.83x = 4,691.41
5. Step 5: Solve for x
   x = 4,691.41/91.83
6. Step 6: Final answer
   x = 51.09