Finding the Fourth Proportional to 10,353.27, 14,287.53 and 5,637.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,353.27 : 14,287.53 = 5,637.57 : x
2. Step 2: Convert to fraction form
   10,353.27/14,287.53 = 5,637.57/x
3. Step 3: Cross multiply
   10,353.27x = 14,287.53 × 5,637.57
4. Step 4: Simplify right side
   10,353.27x = 80,546,950.50
5. Step 5: Solve for x
   x = 80,546,950.50/10,353.27
6. Step 6: Final answer
   x = 7,779.86