Finding the Fourth Proportional to 10,029.37, 13,840.61 and 5,553.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,029.37 : 13,840.61 = 5,553.20 : x
2. Step 2: Convert to fraction form
   10,029.37/13,840.61 = 5,553.20/x
3. Step 3: Cross multiply
   10,029.37x = 13,840.61 × 5,553.20
4. Step 4: Simplify right side
   10,029.37x = 76,859,675.45
5. Step 5: Solve for x
   x = 76,859,675.45/10,029.37
6. Step 6: Final answer
   x = 7,663.46