Finding the Fourth Proportional to 9,640.74, 13,302.81 and 5,663.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,640.74 : 13,302.81 = 5,663.14 : x
2. Step 2: Convert to fraction form
   9,640.74/13,302.81 = 5,663.14/x
3. Step 3: Cross multiply
   9,640.74x = 13,302.81 × 5,663.14
4. Step 4: Simplify right side
   9,640.74x = 75,335,675.42
5. Step 5: Solve for x
   x = 75,335,675.42/9,640.74
6. Step 6: Final answer
   x = 7,814.30