Finding the Fourth Proportional to 5,856.78, 8,085.33 and 3,978.30

Step by Step Solution

1. Step 1: Write the proportion equation
   5,856.78 : 8,085.33 = 3,978.30 : x
2. Step 2: Convert to fraction form
   5,856.78/8,085.33 = 3,978.30/x
3. Step 3: Cross multiply
   5,856.78x = 8,085.33 × 3,978.30
4. Step 4: Simplify right side
   5,856.78x = 32,165,868.34
5. Step 5: Solve for x
   x = 32,165,868.34/5,856.78
6. Step 6: Final answer
   x = 5,492.07