Finding the Fourth Proportional to 6,746.64, 10,105.25 and 5,563.37

Step by Step Solution

1. Step 1: Write the proportion equation
   6,746.64 : 10,105.25 = 5,563.37 : x
2. Step 2: Convert to fraction form
   6,746.64/10,105.25 = 5,563.37/x
3. Step 3: Cross multiply
   6,746.64x = 10,105.25 × 5,563.37
4. Step 4: Simplify right side
   6,746.64x = 56,219,166.35
5. Step 5: Solve for x
   x = 56,219,166.35/6,746.64
6. Step 6: Final answer
   x = 8,332.91