Finding the Fourth Proportional to 5,123.76, 7,688.62 and 2,003.60

Step by Step Solution

1. Step 1: Write the proportion equation
   5,123.76 : 7,688.62 = 2,003.60 : x
2. Step 2: Convert to fraction form
   5,123.76/7,688.62 = 2,003.60/x
3. Step 3: Cross multiply
   5,123.76x = 7,688.62 × 2,003.60
4. Step 4: Simplify right side
   5,123.76x = 15,404,940.76
5. Step 5: Solve for x
   x = 15,404,940.76/5,123.76
6. Step 6: Final answer
   x = 3,006.57