Finding the Fourth Proportional to 1,766.98, 2,438.55 and 1,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,766.98 : 2,438.55 = 1,178.50 : x
2. Step 2: Convert to fraction form
   1,766.98/2,438.55 = 1,178.50/x
3. Step 3: Cross multiply
   1,766.98x = 2,438.55 × 1,178.50
4. Step 4: Simplify right side
   1,766.98x = 2,873,831.18
5. Step 5: Solve for x
   x = 2,873,831.18/1,766.98
6. Step 6: Final answer
   x = 1,626.41