Finding the Fourth Proportional to 10,353.54, 14,288.09 and 5,637.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,353.54 : 14,288.09 = 5,637.83 : x
2. Step 2: Convert to fraction form
   10,353.54/14,288.09 = 5,637.83/x
3. Step 3: Cross multiply
   10,353.54x = 14,288.09 × 5,637.83
4. Step 4: Simplify right side
   10,353.54x = 80,553,722.82
5. Step 5: Solve for x
   x = 80,553,722.82/10,353.54
6. Step 6: Final answer
   x = 7,780.31