Finding the Fourth Proportional to 10,557.40, 14,559.24 and 7,874.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,557.40 : 14,559.24 = 7,874.54 : x
2. Step 2: Convert to fraction form
   10,557.40/14,559.24 = 7,874.54/x
3. Step 3: Cross multiply
   10,557.40x = 14,559.24 × 7,874.54
4. Step 4: Simplify right side
   10,557.40x = 114,647,317.75
5. Step 5: Solve for x
   x = 114,647,317.75/10,557.40
6. Step 6: Final answer
   x = 10,859.43