Finding the Fourth Proportional to 3,738.56, 5,605.61 and 1,764.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,738.56 : 5,605.61 = 1,764.69 : x
2. Step 2: Convert to fraction form
   3,738.56/5,605.61 = 1,764.69/x
3. Step 3: Cross multiply
   3,738.56x = 5,605.61 × 1,764.69
4. Step 4: Simplify right side
   3,738.56x = 9,892,134.07
5. Step 5: Solve for x
   x = 9,892,134.07/3,738.56
6. Step 6: Final answer
   x = 2,645.98