Finding the Fourth Proportional to 2,109.86, 3,164.42 and 570.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.86 : 3,164.42 = 570.50 : x
2. Step 2: Convert to fraction form
   2,109.86/3,164.42 = 570.50/x
3. Step 3: Cross multiply
   2,109.86x = 3,164.42 × 570.50
4. Step 4: Simplify right side
   2,109.86x = 1,805,301.61
5. Step 5: Solve for x
   x = 1,805,301.61/2,109.86
6. Step 6: Final answer
   x = 855.65