Finding the Fourth Proportional to 5,513.76, 8,255.89 and 4,638.96

Step by Step Solution

1. Step 1: Write the proportion equation
   5,513.76 : 8,255.89 = 4,638.96 : x
2. Step 2: Convert to fraction form
   5,513.76/8,255.89 = 4,638.96/x
3. Step 3: Cross multiply
   5,513.76x = 8,255.89 × 4,638.96
4. Step 4: Simplify right side
   5,513.76x = 38,298,743.47
5. Step 5: Solve for x
   x = 38,298,743.47/5,513.76
6. Step 6: Final answer
   x = 6,946.03