Finding the Fourth Proportional to 6,389.34, 9,577.50 and 3,470.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,389.34 : 9,577.50 = 3,470.10 : x
2. Step 2: Convert to fraction form
   6,389.34/9,577.50 = 3,470.10/x
3. Step 3: Cross multiply
   6,389.34x = 9,577.50 × 3,470.10
4. Step 4: Simplify right side
   6,389.34x = 33,234,882.75
5. Step 5: Solve for x
   x = 33,234,882.75/6,389.34
6. Step 6: Final answer
   x = 5,201.61