Finding the Fourth Proportional to 9,825.94, 13,558.27 and 5,633.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.94 : 13,558.27 = 5,633.38 : x
2. Step 2: Convert to fraction form
   9,825.94/13,558.27 = 5,633.38/x
3. Step 3: Cross multiply
   9,825.94x = 13,558.27 × 5,633.38
4. Step 4: Simplify right side
   9,825.94x = 76,378,791.09
5. Step 5: Solve for x
   x = 76,378,791.09/9,825.94
6. Step 6: Final answer
   x = 7,773.18