Finding the Fourth Proportional to 2,128.50, 2,938.05 and 1,509.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,128.50 : 2,938.05 = 1,509.30 : x
2. Step 2: Convert to fraction form
   2,128.50/2,938.05 = 1,509.30/x
3. Step 3: Cross multiply
   2,128.50x = 2,938.05 × 1,509.30
4. Step 4: Simplify right side
   2,128.50x = 4,434,398.87
5. Step 5: Solve for x
   x = 4,434,398.87/2,128.50
6. Step 6: Final answer
   x = 2,083.34