Finding the Fourth Proportional to 9,345.30, 12,896.42 and 5,153.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,345.30 : 12,896.42 = 5,153.55 : x
2. Step 2: Convert to fraction form
   9,345.30/12,896.42 = 5,153.55/x
3. Step 3: Cross multiply
   9,345.30x = 12,896.42 × 5,153.55
4. Step 4: Simplify right side
   9,345.30x = 66,462,345.29
5. Step 5: Solve for x
   x = 66,462,345.29/9,345.30
6. Step 6: Final answer
   x = 7,111.85