Finding the Fourth Proportional to 10,353.37, 14,287.59 and 5,637.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,353.37 : 14,287.59 = 5,637.64 : x
2. Step 2: Convert to fraction form
   10,353.37/14,287.59 = 5,637.64/x
3. Step 3: Cross multiply
   10,353.37x = 14,287.59 × 5,637.64
4. Step 4: Simplify right side
   10,353.37x = 80,548,288.89
5. Step 5: Solve for x
   x = 80,548,288.89/10,353.37
6. Step 6: Final answer
   x = 7,779.91