Finding the Fourth Proportional to 2,209.72, 3,314.41 and 977.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,209.72 : 3,314.41 = 977.17 : x
2. Step 2: Convert to fraction form
   2,209.72/3,314.41 = 977.17/x
3. Step 3: Cross multiply
   2,209.72x = 3,314.41 × 977.17
4. Step 4: Simplify right side
   2,209.72x = 3,238,742.02
5. Step 5: Solve for x
   x = 3,238,742.02/2,209.72
6. Step 6: Final answer
   x = 1,465.68