Finding the Fourth Proportional to 1,456.40, 2,184.42 and 969.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.40 : 2,184.42 = 969.14 : x
2. Step 2: Convert to fraction form
   1,456.40/2,184.42 = 969.14/x
3. Step 3: Cross multiply
   1,456.40x = 2,184.42 × 969.14
4. Step 4: Simplify right side
   1,456.40x = 2,117,008.80
5. Step 5: Solve for x
   x = 2,117,008.80/1,456.40
6. Step 6: Final answer
   x = 1,453.59