Finding the Fourth Proportional to 5,856.30, 8,077.71 and 3,586.58

Step by Step Solution

1. Step 1: Write the proportion equation
   5,856.30 : 8,077.71 = 3,586.58 : x
2. Step 2: Convert to fraction form
   5,856.30/8,077.71 = 3,586.58/x
3. Step 3: Cross multiply
   5,856.30x = 8,077.71 × 3,586.58
4. Step 4: Simplify right side
   5,856.30x = 28,971,294.81
5. Step 5: Solve for x
   x = 28,971,294.81/5,856.30
6. Step 6: Final answer
   x = 4,947.03