Finding the Fourth Proportional to 5,461.52, 8,184.96 and 5,111.60

Step by Step Solution

1. Step 1: Write the proportion equation
   5,461.52 : 8,184.96 = 5,111.60 : x
2. Step 2: Convert to fraction form
   5,461.52/8,184.96 = 5,111.60/x
3. Step 3: Cross multiply
   5,461.52x = 8,184.96 × 5,111.60
4. Step 4: Simplify right side
   5,461.52x = 41,838,241.54
5. Step 5: Solve for x
   x = 41,838,241.54/5,461.52
6. Step 6: Final answer
   x = 7,660.55