Finding the Fourth Proportional to 1,005.41, 1,513.68 and 919.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.41 : 1,513.68 = 919.31 : x
2. Step 2: Convert to fraction form
   1,005.41/1,513.68 = 919.31/x
3. Step 3: Cross multiply
   1,005.41x = 1,513.68 × 919.31
4. Step 4: Simplify right side
   1,005.41x = 1,391,533.59
5. Step 5: Solve for x
   x = 1,391,533.59/1,005.41
6. Step 6: Final answer
   x = 1,384.05