Finding the Fourth Proportional to 9,757.50, 13,463.91 and 5,722.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,757.50 : 13,463.91 = 5,722.80 : x
2. Step 2: Convert to fraction form
   9,757.50/13,463.91 = 5,722.80/x
3. Step 3: Cross multiply
   9,757.50x = 13,463.91 × 5,722.80
4. Step 4: Simplify right side
   9,757.50x = 77,051,264.15
5. Step 5: Solve for x
   x = 77,051,264.15/9,757.50
6. Step 6: Final answer
   x = 7,896.62