Finding the Fourth Proportional to 1,974.50, 2,725.05 and 1,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,974.50 : 2,725.05 = 1,146.50 : x
2. Step 2: Convert to fraction form
   1,974.50/2,725.05 = 1,146.50/x
3. Step 3: Cross multiply
   1,974.50x = 2,725.05 × 1,146.50
4. Step 4: Simplify right side
   1,974.50x = 3,124,269.83
5. Step 5: Solve for x
   x = 3,124,269.83/1,974.50
6. Step 6: Final answer
   x = 1,582.31