Finding the Fourth Proportional to 1,191.86, 1,786.76 and 574.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.86 : 1,786.76 = 574.72 : x
2. Step 2: Convert to fraction form
   1,191.86/1,786.76 = 574.72/x
3. Step 3: Cross multiply
   1,191.86x = 1,786.76 × 574.72
4. Step 4: Simplify right side
   1,191.86x = 1,026,881.52
5. Step 5: Solve for x
   x = 1,026,881.52/1,191.86
6. Step 6: Final answer
   x = 861.58