Finding the Fourth Proportional to 1,406.08, 2,109.30 and 675.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.08 : 2,109.30 = 675.82 : x
2. Step 2: Convert to fraction form
   1,406.08/2,109.30 = 675.82/x
3. Step 3: Cross multiply
   1,406.08x = 2,109.30 × 675.82
4. Step 4: Simplify right side
   1,406.08x = 1,425,507.13
5. Step 5: Solve for x
   x = 1,425,507.13/1,406.08
6. Step 6: Final answer
   x = 1,013.82