Finding the Fourth Proportional to 3,443.50, 5,164.52 and 977.66

Step by Step Solution

1. Step 1: Write the proportion equation
   3,443.50 : 5,164.52 = 977.66 : x
2. Step 2: Convert to fraction form
   3,443.50/5,164.52 = 977.66/x
3. Step 3: Cross multiply
   3,443.50x = 5,164.52 × 977.66
4. Step 4: Simplify right side
   3,443.50x = 5,049,144.62
5. Step 5: Solve for x
   x = 5,049,144.62/3,443.50
6. Step 6: Final answer
   x = 1,466.28