Finding the Fourth Proportional to 9,933.12, 14,880.96 and 5,002.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,933.12 : 14,880.96 = 5,002.56 : x
2. Step 2: Convert to fraction form
   9,933.12/14,880.96 = 5,002.56/x
3. Step 3: Cross multiply
   9,933.12x = 14,880.96 × 5,002.56
4. Step 4: Simplify right side
   9,933.12x = 74,442,895.26
5. Step 5: Solve for x
   x = 74,442,895.26/9,933.12
6. Step 6: Final answer
   x = 7,494.41