Finding the Fourth Proportional to 1,406.31, 2,109.77 and 675.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.31 : 2,109.77 = 675.49 : x
2. Step 2: Convert to fraction form
   1,406.31/2,109.77 = 675.49/x
3. Step 3: Cross multiply
   1,406.31x = 2,109.77 × 675.49
4. Step 4: Simplify right side
   1,406.31x = 1,425,114.61
5. Step 5: Solve for x
   x = 1,425,114.61/1,406.31
6. Step 6: Final answer
   x = 1,013.37