Finding the Fourth Proportional to 5,564.83, 7,638.56 and 4,921.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,564.83 : 7,638.56 = 4,921.27 : x
2. Step 2: Convert to fraction form
   5,564.83/7,638.56 = 4,921.27/x
3. Step 3: Cross multiply
   5,564.83x = 7,638.56 × 4,921.27
4. Step 4: Simplify right side
   5,564.83x = 37,591,416.17
5. Step 5: Solve for x
   x = 37,591,416.17/5,564.83
6. Step 6: Final answer
   x = 6,755.18