Finding the Fourth Proportional to 1,535.82, 2,304.82 and 1,189.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.82 : 2,304.82 = 1,189.96 : x
2. Step 2: Convert to fraction form
   1,535.82/2,304.82 = 1,189.96/x
3. Step 3: Cross multiply
   1,535.82x = 2,304.82 × 1,189.96
4. Step 4: Simplify right side
   1,535.82x = 2,742,643.61
5. Step 5: Solve for x
   x = 2,742,643.61/1,535.82
6. Step 6: Final answer
   x = 1,785.78