Finding the Fourth Proportional to 9,164.00, 13,739.83 and 4,230.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.00 : 13,739.83 = 4,230.92 : x
2. Step 2: Convert to fraction form
   9,164.00/13,739.83 = 4,230.92/x
3. Step 3: Cross multiply
   9,164.00x = 13,739.83 × 4,230.92
4. Step 4: Simplify right side
   9,164.00x = 58,132,042.27
5. Step 5: Solve for x
   x = 58,132,042.27/9,164.00
6. Step 6: Final answer
   x = 6,343.53