Finding the Fourth Proportional to 1,677.50, 2,314.41 and 969.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,677.50 : 2,314.41 = 969.25 : x
2. Step 2: Convert to fraction form
   1,677.50/2,314.41 = 969.25/x
3. Step 3: Cross multiply
   1,677.50x = 2,314.41 × 969.25
4. Step 4: Simplify right side
   1,677.50x = 2,243,241.89
5. Step 5: Solve for x
   x = 2,243,241.89/1,677.50
6. Step 6: Final answer
   x = 1,337.25