Finding the Fourth Proportional to 3,164.47, 4,746.83 and 1,189.90

Step by Step Solution

1. Step 1: Write the proportion equation
   3,164.47 : 4,746.83 = 1,189.90 : x
2. Step 2: Convert to fraction form
   3,164.47/4,746.83 = 1,189.90/x
3. Step 3: Cross multiply
   3,164.47x = 4,746.83 × 1,189.90
4. Step 4: Simplify right side
   3,164.47x = 5,648,253.02
5. Step 5: Solve for x
   x = 5,648,253.02/3,164.47
6. Step 6: Final answer
   x = 1,784.90