Finding the Fourth Proportional to 2,129.16, 3,193.61 and 1,019.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,129.16 : 3,193.61 = 1,019.37 : x
2. Step 2: Convert to fraction form
   2,129.16/3,193.61 = 1,019.37/x
3. Step 3: Cross multiply
   2,129.16x = 3,193.61 × 1,019.37
4. Step 4: Simplify right side
   2,129.16x = 3,255,464.87
5. Step 5: Solve for x
   x = 3,255,464.87/2,129.16
6. Step 6: Final answer
   x = 1,528.99