Finding the Fourth Proportional to 9,626.03, 13,283.82 and 5,646.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,626.03 : 13,283.82 = 5,646.38 : x
2. Step 2: Convert to fraction form
   9,626.03/13,283.82 = 5,646.38/x
3. Step 3: Cross multiply
   9,626.03x = 13,283.82 × 5,646.38
4. Step 4: Simplify right side
   9,626.03x = 75,005,495.57
5. Step 5: Solve for x
   x = 75,005,495.57/9,626.03
6. Step 6: Final answer
   x = 7,791.94