Finding the Fourth Proportional to 6,757.81, 9,334.78 and 5,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,757.81 : 9,334.78 = 5,436.50 : x
2. Step 2: Convert to fraction form
   6,757.81/9,334.78 = 5,436.50/x
3. Step 3: Cross multiply
   6,757.81x = 9,334.78 × 5,436.50
4. Step 4: Simplify right side
   6,757.81x = 50,748,471.20
5. Step 5: Solve for x
   x = 50,748,471.20/6,757.81
6. Step 6: Final answer
   x = 7,509.61