Finding the Fourth Proportional to 1,535.37, 2,301.57 and 805.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.37 : 2,301.57 = 805.02 : x
2. Step 2: Convert to fraction form
   1,535.37/2,301.57 = 805.02/x
3. Step 3: Cross multiply
   1,535.37x = 2,301.57 × 805.02
4. Step 4: Simplify right side
   1,535.37x = 1,852,809.88
5. Step 5: Solve for x
   x = 1,852,809.88/1,535.37
6. Step 6: Final answer
   x = 1,206.75