Finding the Fourth Proportional to 1,684.05, 2,524.24 and 1,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,684.05 : 2,524.24 = 1,099.50 : x
2. Step 2: Convert to fraction form
   1,684.05/2,524.24 = 1,099.50/x
3. Step 3: Cross multiply
   1,684.05x = 2,524.24 × 1,099.50
4. Step 4: Simplify right side
   1,684.05x = 2,775,401.88
5. Step 5: Solve for x
   x = 2,775,401.88/1,684.05
6. Step 6: Final answer
   x = 1,648.05