Finding the Fourth Proportional to 10,425.02, 14,386.41 and 5,644.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,425.02 : 14,386.41 = 5,644.89 : x
2. Step 2: Convert to fraction form
   10,425.02/14,386.41 = 5,644.89/x
3. Step 3: Cross multiply
   10,425.02x = 14,386.41 × 5,644.89
4. Step 4: Simplify right side
   10,425.02x = 81,209,701.94
5. Step 5: Solve for x
   x = 81,209,701.94/10,425.02
6. Step 6: Final answer
   x = 7,789.89