Finding the Fourth Proportional to 2,209.72, 3,314.42 and 977.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,209.72 : 3,314.42 = 977.18 : x
2. Step 2: Convert to fraction form
   2,209.72/3,314.42 = 977.18/x
3. Step 3: Cross multiply
   2,209.72x = 3,314.42 × 977.18
4. Step 4: Simplify right side
   2,209.72x = 3,238,784.94
5. Step 5: Solve for x
   x = 3,238,784.94/2,209.72
6. Step 6: Final answer
   x = 1,465.70