Finding the Fourth Proportional to 5,866.89, 8,096.32 and 3,178.12

Step by Step Solution

1. Step 1: Write the proportion equation
   5,866.89 : 8,096.32 = 3,178.12 : x
2. Step 2: Convert to fraction form
   5,866.89/8,096.32 = 3,178.12/x
3. Step 3: Cross multiply
   5,866.89x = 8,096.32 × 3,178.12
4. Step 4: Simplify right side
   5,866.89x = 25,731,060.25
5. Step 5: Solve for x
   x = 25,731,060.25/5,866.89
6. Step 6: Final answer
   x = 4,385.81