Finding the Fourth Proportional to 10,349.16, 14,281.91 and 5,633.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,349.16 : 14,281.91 = 5,633.49 : x
2. Step 2: Convert to fraction form
   10,349.16/14,281.91 = 5,633.49/x
3. Step 3: Cross multiply
   10,349.16x = 14,281.91 × 5,633.49
4. Step 4: Simplify right side
   10,349.16x = 80,456,997.17
5. Step 5: Solve for x
   x = 80,456,997.17/10,349.16
6. Step 6: Final answer
   x = 7,774.25