Finding the Fourth Proportional to 1,538.89, 2,309.01 and 808.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.89 : 2,309.01 = 808.29 : x
2. Step 2: Convert to fraction form
   1,538.89/2,309.01 = 808.29/x
3. Step 3: Cross multiply
   1,538.89x = 2,309.01 × 808.29
4. Step 4: Simplify right side
   1,538.89x = 1,866,349.69
5. Step 5: Solve for x
   x = 1,866,349.69/1,538.89
6. Step 6: Final answer
   x = 1,212.79