Finding the Fourth Proportional to 10,359.89, 14,296.58 and 5,644.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,359.89 : 14,296.58 = 5,644.18 : x
2. Step 2: Convert to fraction form
   10,359.89/14,296.58 = 5,644.18/x
3. Step 3: Cross multiply
   10,359.89x = 14,296.58 × 5,644.18
4. Step 4: Simplify right side
   10,359.89x = 80,692,406.94
5. Step 5: Solve for x
   x = 80,692,406.94/10,359.89
6. Step 6: Final answer
   x = 7,788.92