Finding the Fourth Proportional to 10,413, 14,369.94 and 5,697.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,413 : 14,369.94 = 5,697.33 : x
2. Step 2: Convert to fraction form
   10,413/14,369.94 = 5,697.33/x
3. Step 3: Cross multiply
   10,413x = 14,369.94 × 5,697.33
4. Step 4: Simplify right side
   10,413x = 81,870,290.26
5. Step 5: Solve for x
   x = 81,870,290.26/10,413
6. Step 6: Final answer
   x = 7,862.32