Finding the Fourth Proportional to 9,697.14, 13,378.86 and 5,663.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,697.14 : 13,378.86 = 5,663.04 : x
2. Step 2: Convert to fraction form
   9,697.14/13,378.86 = 5,663.04/x
3. Step 3: Cross multiply
   9,697.14x = 13,378.86 × 5,663.04
4. Step 4: Simplify right side
   9,697.14x = 75,765,019.33
5. Step 5: Solve for x
   x = 75,765,019.33/9,697.14
6. Step 6: Final answer
   x = 7,813.13