Finding the Fourth Proportional to 1,164.86, 1,746.52 and 571.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.86 : 1,746.52 = 571.81 : x
2. Step 2: Convert to fraction form
   1,164.86/1,746.52 = 571.81/x
3. Step 3: Cross multiply
   1,164.86x = 1,746.52 × 571.81
4. Step 4: Simplify right side
   1,164.86x = 998,679.10
5. Step 5: Solve for x
   x = 998,679.10/1,164.86
6. Step 6: Final answer
   x = 857.34