Finding the Fourth Proportional to 1,709.31, 2,561.49 and 977.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,709.31 : 2,561.49 = 977.37 : x
2. Step 2: Convert to fraction form
   1,709.31/2,561.49 = 977.37/x
3. Step 3: Cross multiply
   1,709.31x = 2,561.49 × 977.37
4. Step 4: Simplify right side
   1,709.31x = 2,503,523.48
5. Step 5: Solve for x
   x = 2,503,523.48/1,709.31
6. Step 6: Final answer
   x = 1,464.64