Finding the Fourth Proportional to 1,634.72, 2,450.16 and 977.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,634.72 : 2,450.16 = 977.12 : x
2. Step 2: Convert to fraction form
   1,634.72/2,450.16 = 977.12/x
3. Step 3: Cross multiply
   1,634.72x = 2,450.16 × 977.12
4. Step 4: Simplify right side
   1,634.72x = 2,394,100.34
5. Step 5: Solve for x
   x = 2,394,100.34/1,634.72
6. Step 6: Final answer
   x = 1,464.53