Finding the Fourth Proportional to 9,302.91, 12,838.01 and 5,111.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,302.91 : 12,838.01 = 5,111.16 : x
2. Step 2: Convert to fraction form
   9,302.91/12,838.01 = 5,111.16/x
3. Step 3: Cross multiply
   9,302.91x = 12,838.01 × 5,111.16
4. Step 4: Simplify right side
   9,302.91x = 65,617,078.24
5. Step 5: Solve for x
   x = 65,617,078.24/9,302.91
6. Step 6: Final answer
   x = 7,053.40