Finding the Fourth Proportional to 1,535.24, 2,300.78 and 803.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.24 : 2,300.78 = 803.32 : x
2. Step 2: Convert to fraction form
   1,535.24/2,300.78 = 803.32/x
3. Step 3: Cross multiply
   1,535.24x = 2,300.78 × 803.32
4. Step 4: Simplify right side
   1,535.24x = 1,848,262.59
5. Step 5: Solve for x
   x = 1,848,262.59/1,535.24
6. Step 6: Final answer
   x = 1,203.89