Finding the Fourth Proportional to 9,287.42, 12,816.50 and 5,038.36

Step by Step Solution

1. Step 1: Write the proportion equation
   9,287.42 : 12,816.50 = 5,038.36 : x
2. Step 2: Convert to fraction form
   9,287.42/12,816.50 = 5,038.36/x
3. Step 3: Cross multiply
   9,287.42x = 12,816.50 × 5,038.36
4. Step 4: Simplify right side
   9,287.42x = 64,574,083.71
5. Step 5: Solve for x
   x = 64,574,083.71/9,287.42
6. Step 6: Final answer
   x = 6,952.86