Finding the Fourth Proportional to 10,360.71, 14,297.58 and 5,644.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,360.71 : 14,297.58 = 5,644.89 : x
2. Step 2: Convert to fraction form
   10,360.71/14,297.58 = 5,644.89/x
3. Step 3: Cross multiply
   10,360.71x = 14,297.58 × 5,644.89
4. Step 4: Simplify right side
   10,360.71x = 80,708,266.37
5. Step 5: Solve for x
   x = 80,708,266.37/10,360.71
6. Step 6: Final answer
   x = 7,789.84