Finding the Fourth Proportional to 10,363.77, 14,301.61 and 5,647.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,363.77 : 14,301.61 = 5,647.95 : x
2. Step 2: Convert to fraction form
   10,363.77/14,301.61 = 5,647.95/x
3. Step 3: Cross multiply
   10,363.77x = 14,301.61 × 5,647.95
4. Step 4: Simplify right side
   10,363.77x = 80,774,778.20
5. Step 5: Solve for x
   x = 80,774,778.20/10,363.77
6. Step 6: Final answer
   x = 7,793.96