Finding the Fourth Proportional to 2,185.48, 3,274.58 and 1,535.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,185.48 : 3,274.58 = 1,535.05 : x
2. Step 2: Convert to fraction form
   2,185.48/3,274.58 = 1,535.05/x
3. Step 3: Cross multiply
   2,185.48x = 3,274.58 × 1,535.05
4. Step 4: Simplify right side
   2,185.48x = 5,026,643.33
5. Step 5: Solve for x
   x = 5,026,643.33/2,185.48
6. Step 6: Final answer
   x = 2,300.02