Finding the Fourth Proportional to 9,755.33, 13,462.44 and 5,724.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,755.33 : 13,462.44 = 5,724.57 : x
2. Step 2: Convert to fraction form
   9,755.33/13,462.44 = 5,724.57/x
3. Step 3: Cross multiply
   9,755.33x = 13,462.44 × 5,724.57
4. Step 4: Simplify right side
   9,755.33x = 77,066,680.15
5. Step 5: Solve for x
   x = 77,066,680.15/9,755.33
6. Step 6: Final answer
   x = 7,899.96