Finding the Fourth Proportional to 1,380.24, 1,906.38 and 1,006.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.24 : 1,906.38 = 1,006.62 : x
2. Step 2: Convert to fraction form
   1,380.24/1,906.38 = 1,006.62/x
3. Step 3: Cross multiply
   1,380.24x = 1,906.38 × 1,006.62
4. Step 4: Simplify right side
   1,380.24x = 1,919,000.24
5. Step 5: Solve for x
   x = 1,919,000.24/1,380.24
6. Step 6: Final answer
   x = 1,390.34