Finding the Fourth Proportional to 2,174.38, 3,262.06 and 1,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,174.38 : 3,262.06 = 1,019.50 : x
2. Step 2: Convert to fraction form
   2,174.38/3,262.06 = 1,019.50/x
3. Step 3: Cross multiply
   2,174.38x = 3,262.06 × 1,019.50
4. Step 4: Simplify right side
   2,174.38x = 3,325,670.17
5. Step 5: Solve for x
   x = 3,325,670.17/2,174.38
6. Step 6: Final answer
   x = 1,529.48