Finding the Fourth Proportional to 3,820.47, 5,730.89 and 1,189.77

Step by Step Solution

1. Step 1: Write the proportion equation
   3,820.47 : 5,730.89 = 1,189.77 : x
2. Step 2: Convert to fraction form
   3,820.47/5,730.89 = 1,189.77/x
3. Step 3: Cross multiply
   3,820.47x = 5,730.89 × 1,189.77
4. Step 4: Simplify right side
   3,820.47x = 6,818,413.56
5. Step 5: Solve for x
   x = 6,818,413.56/3,820.47
6. Step 6: Final answer
   x = 1,784.71