Finding the Fourth Proportional to 2,654.64, 3,663.81 and 2,024.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,654.64 : 3,663.81 = 2,024.10 : x
2. Step 2: Convert to fraction form
   2,654.64/3,663.81 = 2,024.10/x
3. Step 3: Cross multiply
   2,654.64x = 3,663.81 × 2,024.10
4. Step 4: Simplify right side
   2,654.64x = 7,415,917.82
5. Step 5: Solve for x
   x = 7,415,917.82/2,654.64
6. Step 6: Final answer
   x = 2,793.57