Finding the Fourth Proportional to 2,137.50, 2,947.86 and 1,664.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,137.50 : 2,947.86 = 1,664.46 : x
2. Step 2: Convert to fraction form
   2,137.50/2,947.86 = 1,664.46/x
3. Step 3: Cross multiply
   2,137.50x = 2,947.86 × 1,664.46
4. Step 4: Simplify right side
   2,137.50x = 4,906,595.06
5. Step 5: Solve for x
   x = 4,906,595.06/2,137.50
6. Step 6: Final answer
   x = 2,295.48