Finding the Fourth Proportional to 1,178.08, 1,766.27 and 437.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,178.08 : 1,766.27 = 437.33 : x
2. Step 2: Convert to fraction form
   1,178.08/1,766.27 = 437.33/x
3. Step 3: Cross multiply
   1,178.08x = 1,766.27 × 437.33
4. Step 4: Simplify right side
   1,178.08x = 772,448.37
5. Step 5: Solve for x
   x = 772,448.37/1,178.08
6. Step 6: Final answer
   x = 655.69