Finding the Fourth Proportional to 9,097.10, 13,648.98 and 3,833.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,097.10 : 13,648.98 = 3,833.43 : x
2. Step 2: Convert to fraction form
   9,097.10/13,648.98 = 3,833.43/x
3. Step 3: Cross multiply
   9,097.10x = 13,648.98 × 3,833.43
4. Step 4: Simplify right side
   9,097.10x = 52,322,409.40
5. Step 5: Solve for x
   x = 52,322,409.40/9,097.10
6. Step 6: Final answer
   x = 5,751.55