Finding the Fourth Proportional to 1,535.69, 2,301.41 and 841.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.69 : 2,301.41 = 841.52 : x
2. Step 2: Convert to fraction form
   1,535.69/2,301.41 = 841.52/x
3. Step 3: Cross multiply
   1,535.69x = 2,301.41 × 841.52
4. Step 4: Simplify right side
   1,535.69x = 1,936,690.40
5. Step 5: Solve for x
   x = 1,936,690.40/1,535.69
6. Step 6: Final answer
   x = 1,261.12