Finding the Fourth Proportional to 10,363.50, 14,301.60 and 5,647.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,363.50 : 14,301.60 = 5,647.86 : x
2. Step 2: Convert to fraction form
   10,363.50/14,301.60 = 5,647.86/x
3. Step 3: Cross multiply
   10,363.50x = 14,301.60 × 5,647.86
4. Step 4: Simplify right side
   10,363.50x = 80,773,434.58
5. Step 5: Solve for x
   x = 80,773,434.58/10,363.50
6. Step 6: Final answer
   x = 7,794.03