Finding the Fourth Proportional to 1,406.24, 1,940.78 and 882.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.24 : 1,940.78 = 882.20 : x
2. Step 2: Convert to fraction form
   1,406.24/1,940.78 = 882.20/x
3. Step 3: Cross multiply
   1,406.24x = 1,940.78 × 882.20
4. Step 4: Simplify right side
   1,406.24x = 1,712,156.12
5. Step 5: Solve for x
   x = 1,712,156.12/1,406.24
6. Step 6: Final answer
   x = 1,217.54