Finding the Fourth Proportional to 2,667.64, 4,002.05 and 1,024.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,667.64 : 4,002.05 = 1,024.19 : x
2. Step 2: Convert to fraction form
   2,667.64/4,002.05 = 1,024.19/x
3. Step 3: Cross multiply
   2,667.64x = 4,002.05 × 1,024.19
4. Step 4: Simplify right side
   2,667.64x = 4,098,834.46
5. Step 5: Solve for x
   x = 4,098,834.46/2,667.64
6. Step 6: Final answer
   x = 1,536.50