Finding the Fourth Proportional to 1,405.89, 2,109 and 675.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.89 : 2,109 = 675.69 : x
2. Step 2: Convert to fraction form
   1,405.89/2,109 = 675.69/x
3. Step 3: Cross multiply
   1,405.89x = 2,109 × 675.69
4. Step 4: Simplify right side
   1,405.89x = 1,425,030.21
5. Step 5: Solve for x
   x = 1,425,030.21/1,405.89
6. Step 6: Final answer
   x = 1,013.61