Finding the Fourth Proportional to 6,590.64, 9,095.10 and 3,606.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,590.64 : 9,095.10 = 3,606.50 : x
2. Step 2: Convert to fraction form
   6,590.64/9,095.10 = 3,606.50/x
3. Step 3: Cross multiply
   6,590.64x = 9,095.10 × 3,606.50
4. Step 4: Simplify right side
   6,590.64x = 32,801,478.27
5. Step 5: Solve for x
   x = 32,801,478.27/6,590.64
6. Step 6: Final answer
   x = 4,976.98