Finding the Fourth Proportional to 91.69, 137.50 and 51.10

Step by Step Solution

1. Step 1: Write the proportion equation
   91.69 : 137.50 = 51.10 : x
2. Step 2: Convert to fraction form
   91.69/137.50 = 51.10/x
3. Step 3: Cross multiply
   91.69x = 137.50 × 51.10
4. Step 4: Simplify right side
   91.69x = 7,026.25
5. Step 5: Solve for x
   x = 7,026.25/91.69
6. Step 6: Final answer
   x = 76.63