Finding the Fourth Proportional to 10,339.86, 14,268.81 and 5,624.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,339.86 : 14,268.81 = 5,624.10 : x
2. Step 2: Convert to fraction form
   10,339.86/14,268.81 = 5,624.10/x
3. Step 3: Cross multiply
   10,339.86x = 14,268.81 × 5,624.10
4. Step 4: Simplify right side
   10,339.86x = 80,249,214.32
5. Step 5: Solve for x
   x = 80,249,214.32/10,339.86
6. Step 6: Final answer
   x = 7,761.15