Finding the Fourth Proportional to 10,349.40, 14,282.32 and 5,633.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,349.40 : 14,282.32 = 5,633.68 : x
2. Step 2: Convert to fraction form
   10,349.40/14,282.32 = 5,633.68/x
3. Step 3: Cross multiply
   10,349.40x = 14,282.32 × 5,633.68
4. Step 4: Simplify right side
   10,349.40x = 80,462,020.54
5. Step 5: Solve for x
   x = 80,462,020.54/10,349.40
6. Step 6: Final answer
   x = 7,774.56