Finding the Fourth Proportional to 9,868.13, 13,618.01 and 5,676.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,868.13 : 13,618.01 = 5,676.38 : x
2. Step 2: Convert to fraction form
   9,868.13/13,618.01 = 5,676.38/x
3. Step 3: Cross multiply
   9,868.13x = 13,618.01 × 5,676.38
4. Step 4: Simplify right side
   9,868.13x = 77,300,999.60
5. Step 5: Solve for x
   x = 77,300,999.60/9,868.13
6. Step 6: Final answer
   x = 7,833.40