Finding the Fourth Proportional to 2,564.52, 3,847.50 and 1,178.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.52 : 3,847.50 = 1,178.28 : x
2. Step 2: Convert to fraction form
   2,564.52/3,847.50 = 1,178.28/x
3. Step 3: Cross multiply
   2,564.52x = 3,847.50 × 1,178.28
4. Step 4: Simplify right side
   2,564.52x = 4,533,432.30
5. Step 5: Solve for x
   x = 4,533,432.30/2,564.52
6. Step 6: Final answer
   x = 1,767.75