Finding the Fourth Proportional to 10,564.96, 15,842.32 and 5,297.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564.96 : 15,842.32 = 5,297.71 : x
2. Step 2: Convert to fraction form
   10,564.96/15,842.32 = 5,297.71/x
3. Step 3: Cross multiply
   10,564.96x = 15,842.32 × 5,297.71
4. Step 4: Simplify right side
   10,564.96x = 83,928,017.09
5. Step 5: Solve for x
   x = 83,928,017.09/10,564.96
6. Step 6: Final answer
   x = 7,944.00