Finding the Fourth Proportional to 9,633.66, 13,294.71 and 5,441.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,633.66 : 13,294.71 = 5,441.82 : x
2. Step 2: Convert to fraction form
   9,633.66/13,294.71 = 5,441.82/x
3. Step 3: Cross multiply
   9,633.66x = 13,294.71 × 5,441.82
4. Step 4: Simplify right side
   9,633.66x = 72,347,418.77
5. Step 5: Solve for x
   x = 72,347,418.77/9,633.66
6. Step 6: Final answer
   x = 7,509.86