Finding the Fourth Proportional to 10,360.34, 14,297.28 and 5,644.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,360.34 : 14,297.28 = 5,644.63 : x
2. Step 2: Convert to fraction form
   10,360.34/14,297.28 = 5,644.63/x
3. Step 3: Cross multiply
   10,360.34x = 14,297.28 × 5,644.63
4. Step 4: Simplify right side
   10,360.34x = 80,702,819.86
5. Step 5: Solve for x
   x = 80,702,819.86/10,360.34
6. Step 6: Final answer
   x = 7,789.59