Finding the Fourth Proportional to 2,303.50, 3,178.82 and 1,255.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,303.50 : 3,178.82 = 1,255.56 : x
2. Step 2: Convert to fraction form
   2,303.50/3,178.82 = 1,255.56/x
3. Step 3: Cross multiply
   2,303.50x = 3,178.82 × 1,255.56
4. Step 4: Simplify right side
   2,303.50x = 3,991,199.24
5. Step 5: Solve for x
   x = 3,991,199.24/2,303.50
6. Step 6: Final answer
   x = 1,732.67