Finding the Fourth Proportional to 7,189.47, 9,922.71 and 4,164.71

Step by Step Solution

1. Step 1: Write the proportion equation
   7,189.47 : 9,922.71 = 4,164.71 : x
2. Step 2: Convert to fraction form
   7,189.47/9,922.71 = 4,164.71/x
3. Step 3: Cross multiply
   7,189.47x = 9,922.71 × 4,164.71
4. Step 4: Simplify right side
   7,189.47x = 41,325,159.95
5. Step 5: Solve for x
   x = 41,325,159.95/7,189.47
6. Step 6: Final answer
   x = 5,748.01