Finding the Fourth Proportional to 2,109.61, 3,164.05 and 570.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.61 : 3,164.05 = 570.25 : x
2. Step 2: Convert to fraction form
   2,109.61/3,164.05 = 570.25/x
3. Step 3: Cross multiply
   2,109.61x = 3,164.05 × 570.25
4. Step 4: Simplify right side
   2,109.61x = 1,804,299.51
5. Step 5: Solve for x
   x = 1,804,299.51/2,109.61
6. Step 6: Final answer
   x = 855.28