Finding the Fourth Proportional to 3,755.78, 5,635.20 and 1,564.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,755.78 : 5,635.20 = 1,564.10 : x
2. Step 2: Convert to fraction form
   3,755.78/5,635.20 = 1,564.10/x
3. Step 3: Cross multiply
   3,755.78x = 5,635.20 × 1,564.10
4. Step 4: Simplify right side
   3,755.78x = 8,814,016.32
5. Step 5: Solve for x
   x = 8,814,016.32/3,755.78
6. Step 6: Final answer
   x = 2,346.79