Finding the Fourth Proportional to 1,669.98, 2,305.50 and 1,007

Step by Step Solution

1. Step 1: Write the proportion equation
   1,669.98 : 2,305.50 = 1,007 : x
2. Step 2: Convert to fraction form
   1,669.98/2,305.50 = 1,007/x
3. Step 3: Cross multiply
   1,669.98x = 2,305.50 × 1,007
4. Step 4: Simplify right side
   1,669.98x = 2,321,638.50
5. Step 5: Solve for x
   x = 2,321,638.50/1,669.98
6. Step 6: Final answer
   x = 1,390.22