Finding the Fourth Proportional to 1,530.83, 2,297.77 and 709.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,530.83 : 2,297.77 = 709.29 : x
2. Step 2: Convert to fraction form
   1,530.83/2,297.77 = 709.29/x
3. Step 3: Cross multiply
   1,530.83x = 2,297.77 × 709.29
4. Step 4: Simplify right side
   1,530.83x = 1,629,783.51
5. Step 5: Solve for x
   x = 1,629,783.51/1,530.83
6. Step 6: Final answer
   x = 1,064.64