Finding the Fourth Proportional to 91.88, 137.78 and 75.82

Step by Step Solution

1. Step 1: Write the proportion equation
   91.88 : 137.78 = 75.82 : x
2. Step 2: Convert to fraction form
   91.88/137.78 = 75.82/x
3. Step 3: Cross multiply
   91.88x = 137.78 × 75.82
4. Step 4: Simplify right side
   91.88x = 10,446.48
5. Step 5: Solve for x
   x = 10,446.48/91.88
6. Step 6: Final answer
   x = 113.70