Finding the Fourth Proportional to 6,341.10, 9,465.83 and 5,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,341.10 : 9,465.83 = 5,563.50 : x
2. Step 2: Convert to fraction form
   6,341.10/9,465.83 = 5,563.50/x
3. Step 3: Cross multiply
   6,341.10x = 9,465.83 × 5,563.50
4. Step 4: Simplify right side
   6,341.10x = 52,663,117.39
5. Step 5: Solve for x
   x = 52,663,117.39/6,341.10
6. Step 6: Final answer
   x = 8,305.04