Finding the Fourth Proportional to 5,459.52, 8,181.96 and 5,109.60

Step by Step Solution

1. Step 1: Write the proportion equation
   5,459.52 : 8,181.96 = 5,109.60 : x
2. Step 2: Convert to fraction form
   5,459.52/8,181.96 = 5,109.60/x
3. Step 3: Cross multiply
   5,459.52x = 8,181.96 × 5,109.60
4. Step 4: Simplify right side
   5,459.52x = 41,806,542.82
5. Step 5: Solve for x
   x = 41,806,542.82/5,459.52
6. Step 6: Final answer
   x = 7,657.55