Finding the Fourth Proportional to 10,398.37, 14,349.72 and 5,682.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,398.37 : 14,349.72 = 5,682.64 : x
2. Step 2: Convert to fraction form
   10,398.37/14,349.72 = 5,682.64/x
3. Step 3: Cross multiply
   10,398.37x = 14,349.72 × 5,682.64
4. Step 4: Simplify right side
   10,398.37x = 81,544,292.86
5. Step 5: Solve for x
   x = 81,544,292.86/10,398.37
6. Step 6: Final answer
   x = 7,842.03