Finding the Fourth Proportional to 9,868.38, 13,623.03 and 5,675.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,868.38 : 13,623.03 = 5,675.82 : x
2. Step 2: Convert to fraction form
   9,868.38/13,623.03 = 5,675.82/x
3. Step 3: Cross multiply
   9,868.38x = 13,623.03 × 5,675.82
4. Step 4: Simplify right side
   9,868.38x = 77,321,866.13
5. Step 5: Solve for x
   x = 77,321,866.13/9,868.38
6. Step 6: Final answer
   x = 7,835.32