Finding the Fourth Proportional to 1,583.74, 2,185.79 and 1,535.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,583.74 : 2,185.79 = 1,535.34 : x
2. Step 2: Convert to fraction form
   1,583.74/2,185.79 = 1,535.34/x
3. Step 3: Cross multiply
   1,583.74x = 2,185.79 × 1,535.34
4. Step 4: Simplify right side
   1,583.74x = 3,355,930.82
5. Step 5: Solve for x
   x = 3,355,930.82/1,583.74
6. Step 6: Final answer
   x = 2,118.99