Finding the Fourth Proportional to 10,349.50, 14,282.31 and 5,633.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,349.50 : 14,282.31 = 5,633.82 : x
2. Step 2: Convert to fraction form
   10,349.50/14,282.31 = 5,633.82/x
3. Step 3: Cross multiply
   10,349.50x = 14,282.31 × 5,633.82
4. Step 4: Simplify right side
   10,349.50x = 80,463,963.72
5. Step 5: Solve for x
   x = 80,463,963.72/10,349.50
6. Step 6: Final answer
   x = 7,774.67