Finding the Fourth Proportional to 1,667.99, 2,302.74 and 1,005

Step by Step Solution

1. Step 1: Write the proportion equation
   1,667.99 : 2,302.74 = 1,005 : x
2. Step 2: Convert to fraction form
   1,667.99/2,302.74 = 1,005/x
3. Step 3: Cross multiply
   1,667.99x = 2,302.74 × 1,005
4. Step 4: Simplify right side
   1,667.99x = 2,314,253.70
5. Step 5: Solve for x
   x = 2,314,253.70/1,667.99
6. Step 6: Final answer
   x = 1,387.45