Finding the Fourth Proportional to 10,349.31, 14,281.98 and 5,633.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,349.31 : 14,281.98 = 5,633.61 : x
2. Step 2: Convert to fraction form
   10,349.31/14,281.98 = 5,633.61/x
3. Step 3: Cross multiply
   10,349.31x = 14,281.98 × 5,633.61
4. Step 4: Simplify right side
   10,349.31x = 80,459,105.35
5. Step 5: Solve for x
   x = 80,459,105.35/10,349.31
6. Step 6: Final answer
   x = 7,774.34