Finding the Fourth Proportional to 1,410.24, 1,945.76 and 886.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.24 : 1,945.76 = 886.08 : x
2. Step 2: Convert to fraction form
   1,410.24/1,945.76 = 886.08/x
3. Step 3: Cross multiply
   1,410.24x = 1,945.76 × 886.08
4. Step 4: Simplify right side
   1,410.24x = 1,724,099.02
5. Step 5: Solve for x
   x = 1,724,099.02/1,410.24
6. Step 6: Final answer
   x = 1,222.56