Finding the Fourth Proportional to 10,353.11, 14,287.34 and 5,637.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,353.11 : 14,287.34 = 5,637.38 : x
2. Step 2: Convert to fraction form
   10,353.11/14,287.34 = 5,637.38/x
3. Step 3: Cross multiply
   10,353.11x = 14,287.34 × 5,637.38
4. Step 4: Simplify right side
   10,353.11x = 80,543,065.15
5. Step 5: Solve for x
   x = 80,543,065.15/10,353.11
6. Step 6: Final answer
   x = 7,779.60