Finding the Fourth Proportional to 1,535.69, 2,301.71 and 804.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.69 : 2,301.71 = 804.89 : x
2. Step 2: Convert to fraction form
   1,535.69/2,301.71 = 804.89/x
3. Step 3: Cross multiply
   1,535.69x = 2,301.71 × 804.89
4. Step 4: Simplify right side
   1,535.69x = 1,852,607.83
5. Step 5: Solve for x
   x = 1,852,607.83/1,535.69
6. Step 6: Final answer
   x = 1,206.37