Finding the Fourth Proportional to 10,360.32, 14,297.34 and 5,644.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,360.32 : 14,297.34 = 5,644.60 : x
2. Step 2: Convert to fraction form
   10,360.32/14,297.34 = 5,644.60/x
3. Step 3: Cross multiply
   10,360.32x = 14,297.34 × 5,644.60
4. Step 4: Simplify right side
   10,360.32x = 80,702,750.79
5. Step 5: Solve for x
   x = 80,702,750.79/10,360.32
6. Step 6: Final answer
   x = 7,789.60