Finding the Fourth Proportional to 1,176.56, 1,763.72 and 406.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,176.56 : 1,763.72 = 406.52 : x
2. Step 2: Convert to fraction form
   1,176.56/1,763.72 = 406.52/x
3. Step 3: Cross multiply
   1,176.56x = 1,763.72 × 406.52
4. Step 4: Simplify right side
   1,176.56x = 716,987.45
5. Step 5: Solve for x
   x = 716,987.45/1,176.56
6. Step 6: Final answer
   x = 609.39