Finding the Fourth Proportional to 1,410.40, 1,946.04 and 886.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.40 : 1,946.04 = 886.24 : x
2. Step 2: Convert to fraction form
   1,410.40/1,946.04 = 886.24/x
3. Step 3: Cross multiply
   1,410.40x = 1,946.04 × 886.24
4. Step 4: Simplify right side
   1,410.40x = 1,724,658.49
5. Step 5: Solve for x
   x = 1,724,658.49/1,410.40
6. Step 6: Final answer
   x = 1,222.82