Finding the Fourth Proportional to 9,833.02, 13,569.39 and 5,640.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,833.02 : 13,569.39 = 5,640.94 : x
2. Step 2: Convert to fraction form
   9,833.02/13,569.39 = 5,640.94/x
3. Step 3: Cross multiply
   9,833.02x = 13,569.39 × 5,640.94
4. Step 4: Simplify right side
   9,833.02x = 76,544,114.83
5. Step 5: Solve for x
   x = 76,544,114.83/9,833.02
6. Step 6: Final answer
   x = 7,784.40