Finding the Fourth Proportional to 1,417.92, 2,128.89 and 802.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.92 : 2,128.89 = 802.83 : x
2. Step 2: Convert to fraction form
   1,417.92/2,128.89 = 802.83/x
3. Step 3: Cross multiply
   1,417.92x = 2,128.89 × 802.83
4. Step 4: Simplify right side
   1,417.92x = 1,709,136.76
5. Step 5: Solve for x
   x = 1,709,136.76/1,417.92
6. Step 6: Final answer
   x = 1,205.38