Finding the Fourth Proportional to 9,345.39, 12,896.06 and 5,153.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,345.39 : 12,896.06 = 5,153.64 : x
2. Step 2: Convert to fraction form
   9,345.39/12,896.06 = 5,153.64/x
3. Step 3: Cross multiply
   9,345.39x = 12,896.06 × 5,153.64
4. Step 4: Simplify right side
   9,345.39x = 66,461,624.89
5. Step 5: Solve for x
   x = 66,461,624.89/9,345.39
6. Step 6: Final answer
   x = 7,111.70