Finding the Fourth Proportional to 5,784.48, 8,659.71 and 3,586.14

Step by Step Solution

1. Step 1: Write the proportion equation
   5,784.48 : 8,659.71 = 3,586.14 : x
2. Step 2: Convert to fraction form
   5,784.48/8,659.71 = 3,586.14/x
3. Step 3: Cross multiply
   5,784.48x = 8,659.71 × 3,586.14
4. Step 4: Simplify right side
   5,784.48x = 31,054,932.42
5. Step 5: Solve for x
   x = 31,054,932.42/5,784.48
6. Step 6: Final answer
   x = 5,368.66