Finding the Fourth Proportional to 6,428.88, 9,646.56 and 5,033.52

Step by Step Solution

1. Step 1: Write the proportion equation
   6,428.88 : 9,646.56 = 5,033.52 : x
2. Step 2: Convert to fraction form
   6,428.88/9,646.56 = 5,033.52/x
3. Step 3: Cross multiply
   6,428.88x = 9,646.56 × 5,033.52
4. Step 4: Simplify right side
   6,428.88x = 48,556,152.69
5. Step 5: Solve for x
   x = 48,556,152.69/6,428.88
6. Step 6: Final answer
   x = 7,552.82