Finding the Fourth Proportional to 1,670.35, 2,305 and 1,007.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,670.35 : 2,305 = 1,007.06 : x
2. Step 2: Convert to fraction form
   1,670.35/2,305 = 1,007.06/x
3. Step 3: Cross multiply
   1,670.35x = 2,305 × 1,007.06
4. Step 4: Simplify right side
   1,670.35x = 2,321,273.30
5. Step 5: Solve for x
   x = 2,321,273.30/1,670.35
6. Step 6: Final answer
   x = 1,389.69