Finding the Fourth Proportional to 1,667.16, 2,494.40 and 1,006.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,667.16 : 2,494.40 = 1,006.61 : x
2. Step 2: Convert to fraction form
   1,667.16/2,494.40 = 1,006.61/x
3. Step 3: Cross multiply
   1,667.16x = 2,494.40 × 1,006.61
4. Step 4: Simplify right side
   1,667.16x = 2,510,870.48
5. Step 5: Solve for x
   x = 2,510,870.48/1,667.16
6. Step 6: Final answer
   x = 1,506.08