Finding the Fourth Proportional to 10,352.14, 14,285.56 and 5,636.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,352.14 : 14,285.56 = 5,636.32 : x
2. Step 2: Convert to fraction form
   10,352.14/14,285.56 = 5,636.32/x
3. Step 3: Cross multiply
   10,352.14x = 14,285.56 × 5,636.32
4. Step 4: Simplify right side
   10,352.14x = 80,517,987.54
5. Step 5: Solve for x
   x = 80,517,987.54/10,352.14
6. Step 6: Final answer
   x = 7,777.91