Finding the Fourth Proportional to 10,363.38, 14,301.81 and 5,647.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,363.38 : 14,301.81 = 5,647.83 : x
2. Step 2: Convert to fraction form
   10,363.38/14,301.81 = 5,647.83/x
3. Step 3: Cross multiply
   10,363.38x = 14,301.81 × 5,647.83
4. Step 4: Simplify right side
   10,363.38x = 80,774,191.57
5. Step 5: Solve for x
   x = 80,774,191.57/10,363.38
6. Step 6: Final answer
   x = 7,794.19