Finding the Fourth Proportional to 10,349.69, 14,282.58 and 5,633.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,349.69 : 14,282.58 = 5,633.98 : x
2. Step 2: Convert to fraction form
   10,349.69/14,282.58 = 5,633.98/x
3. Step 3: Cross multiply
   10,349.69x = 14,282.58 × 5,633.98
4. Step 4: Simplify right side
   10,349.69x = 80,467,770.07
5. Step 5: Solve for x
   x = 80,467,770.07/10,349.69
6. Step 6: Final answer
   x = 7,774.90