Finding the Fourth Proportional to 91.82, 137.55 and 75.80

Step by Step Solution

1. Step 1: Write the proportion equation
   91.82 : 137.55 = 75.80 : x
2. Step 2: Convert to fraction form
   91.82/137.55 = 75.80/x
3. Step 3: Cross multiply
   91.82x = 137.55 × 75.80
4. Step 4: Simplify right side
   91.82x = 10,426.29
5. Step 5: Solve for x
   x = 10,426.29/91.82
6. Step 6: Final answer
   x = 113.55