Finding the Fourth Proportional to 2,509.62, 3,764.56 and 1,047.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.62 : 3,764.56 = 1,047.30 : x
2. Step 2: Convert to fraction form
   2,509.62/3,764.56 = 1,047.30/x
3. Step 3: Cross multiply
   2,509.62x = 3,764.56 × 1,047.30
4. Step 4: Simplify right side
   2,509.62x = 3,942,623.69
5. Step 5: Solve for x
   x = 3,942,623.69/2,509.62
6. Step 6: Final answer
   x = 1,571.00