Finding the Fourth Proportional to 1,406.16, 1,940.61 and 808.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.16 : 1,940.61 = 808.84 : x
2. Step 2: Convert to fraction form
   1,406.16/1,940.61 = 808.84/x
3. Step 3: Cross multiply
   1,406.16x = 1,940.61 × 808.84
4. Step 4: Simplify right side
   1,406.16x = 1,569,641.69
5. Step 5: Solve for x
   x = 1,569,641.69/1,406.16
6. Step 6: Final answer
   x = 1,116.26