Finding the Fourth Proportional to 6,364.86, 9,527.49 and 3,435.90

Step by Step Solution

1. Step 1: Write the proportion equation
   6,364.86 : 9,527.49 = 3,435.90 : x
2. Step 2: Convert to fraction form
   6,364.86/9,527.49 = 3,435.90/x
3. Step 3: Cross multiply
   6,364.86x = 9,527.49 × 3,435.90
4. Step 4: Simplify right side
   6,364.86x = 32,735,502.89
5. Step 5: Solve for x
   x = 32,735,502.89/6,364.86
6. Step 6: Final answer
   x = 5,143.16