Finding the Fourth Proportional to 3,443.72, 5,164.74 and 977.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,443.72 : 5,164.74 = 977.94 : x
2. Step 2: Convert to fraction form
   3,443.72/5,164.74 = 977.94/x
3. Step 3: Cross multiply
   3,443.72x = 5,164.74 × 977.94
4. Step 4: Simplify right side
   3,443.72x = 5,050,805.84
5. Step 5: Solve for x
   x = 5,050,805.84/3,443.72
6. Step 6: Final answer
   x = 1,466.67