Finding the Fourth Proportional to 91.78, 137.67 and 34.00

Step by Step Solution

1. Step 1: Write the proportion equation
   91.78 : 137.67 = 34.00 : x
2. Step 2: Convert to fraction form
   91.78/137.67 = 34.00/x
3. Step 3: Cross multiply
   91.78x = 137.67 × 34.00
4. Step 4: Simplify right side
   91.78x = 4,680.31
5. Step 5: Solve for x
   x = 4,680.31/91.78
6. Step 6: Final answer
   x = 51.00