Finding the Fourth Proportional to 2,509.56, 3,764.72 and 866.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.56 : 3,764.72 = 866.58 : x
2. Step 2: Convert to fraction form
   2,509.56/3,764.72 = 866.58/x
3. Step 3: Cross multiply
   2,509.56x = 3,764.72 × 866.58
4. Step 4: Simplify right side
   2,509.56x = 3,262,431.06
5. Step 5: Solve for x
   x = 3,262,431.06/2,509.56
6. Step 6: Final answer
   x = 1,300.00