Finding the Fourth Proportional to 1,382.77, 1,906.66 and 1,029.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.77 : 1,906.66 = 1,029.32 : x
2. Step 2: Convert to fraction form
   1,382.77/1,906.66 = 1,029.32/x
3. Step 3: Cross multiply
   1,382.77x = 1,906.66 × 1,029.32
4. Step 4: Simplify right side
   1,382.77x = 1,962,563.27
5. Step 5: Solve for x
   x = 1,962,563.27/1,382.77
6. Step 6: Final answer
   x = 1,419.30