Finding the Fourth Proportional to 3,164.35, 4,746.50 and 1,189.89

Step by Step Solution

1. Step 1: Write the proportion equation
   3,164.35 : 4,746.50 = 1,189.89 : x
2. Step 2: Convert to fraction form
   3,164.35/4,746.50 = 1,189.89/x
3. Step 3: Cross multiply
   3,164.35x = 4,746.50 × 1,189.89
4. Step 4: Simplify right side
   3,164.35x = 5,647,812.89
5. Step 5: Solve for x
   x = 5,647,812.89/3,164.35
6. Step 6: Final answer
   x = 1,784.83