Finding the Fourth Proportional to 2,709.38, 4,061.61 and 977.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,709.38 : 4,061.61 = 977.60 : x
2. Step 2: Convert to fraction form
   2,709.38/4,061.61 = 977.60/x
3. Step 3: Cross multiply
   2,709.38x = 4,061.61 × 977.60
4. Step 4: Simplify right side
   2,709.38x = 3,970,640.09
5. Step 5: Solve for x
   x = 3,970,640.09/2,709.38
6. Step 6: Final answer
   x = 1,465.51