Finding the Fourth Proportional to 3,535.05, 5,299.80 and 1,585.89

Step by Step Solution

1. Step 1: Write the proportion equation
   3,535.05 : 5,299.80 = 1,585.89 : x
2. Step 2: Convert to fraction form
   3,535.05/5,299.80 = 1,585.89/x
3. Step 3: Cross multiply
   3,535.05x = 5,299.80 × 1,585.89
4. Step 4: Simplify right side
   3,535.05x = 8,404,899.82
5. Step 5: Solve for x
   x = 8,404,899.82/3,535.05
6. Step 6: Final answer
   x = 2,377.59