Finding the Fourth Proportional to 5,305.18, 7,264.55 and 5,096.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,305.18 : 7,264.55 = 5,096.05 : x
2. Step 2: Convert to fraction form
   5,305.18/7,264.55 = 5,096.05/x
3. Step 3: Cross multiply
   5,305.18x = 7,264.55 × 5,096.05
4. Step 4: Simplify right side
   5,305.18x = 37,020,504.61
5. Step 5: Solve for x
   x = 37,020,504.61/5,305.18
6. Step 6: Final answer
   x = 6,978.18