Finding the Fourth Proportional to 9,333.75, 12,880.56 and 5,142

Step by Step Solution

1. Step 1: Write the proportion equation
   9,333.75 : 12,880.56 = 5,142 : x
2. Step 2: Convert to fraction form
   9,333.75/12,880.56 = 5,142/x
3. Step 3: Cross multiply
   9,333.75x = 12,880.56 × 5,142
4. Step 4: Simplify right side
   9,333.75x = 66,231,839.52
5. Step 5: Solve for x
   x = 66,231,839.52/9,333.75
6. Step 6: Final answer
   x = 7,095.95