Finding the Fourth Proportional to 6,164.91, 8,507.30 and 3,646.89

Step by Step Solution

1. Step 1: Write the proportion equation
   6,164.91 : 8,507.30 = 3,646.89 : x
2. Step 2: Convert to fraction form
   6,164.91/8,507.30 = 3,646.89/x
3. Step 3: Cross multiply
   6,164.91x = 8,507.30 × 3,646.89
4. Step 4: Simplify right side
   6,164.91x = 31,025,169.06
5. Step 5: Solve for x
   x = 31,025,169.06/6,164.91
6. Step 6: Final answer
   x = 5,032.54