Finding the Fourth Proportional to 10,364.02, 14,302.33 and 5,648.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,364.02 : 14,302.33 = 5,648.30 : x
2. Step 2: Convert to fraction form
   10,364.02/14,302.33 = 5,648.30/x
3. Step 3: Cross multiply
   10,364.02x = 14,302.33 × 5,648.30
4. Step 4: Simplify right side
   10,364.02x = 80,783,850.54
5. Step 5: Solve for x
   x = 80,783,850.54/10,364.02
6. Step 6: Final answer
   x = 7,794.64