Finding the Fourth Proportional to 1,684.48, 2,524.64 and 1,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,684.48 : 2,524.64 = 1,196.50 : x
2. Step 2: Convert to fraction form
   1,684.48/2,524.64 = 1,196.50/x
3. Step 3: Cross multiply
   1,684.48x = 2,524.64 × 1,196.50
4. Step 4: Simplify right side
   1,684.48x = 3,020,731.76
5. Step 5: Solve for x
   x = 3,020,731.76/1,684.48
6. Step 6: Final answer
   x = 1,793.27