Finding the Fourth Proportional to 9,346.50, 12,898.17 and 5,620.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,346.50 : 12,898.17 = 5,620.50 : x
2. Step 2: Convert to fraction form
   9,346.50/12,898.17 = 5,620.50/x
3. Step 3: Cross multiply
   9,346.50x = 12,898.17 × 5,620.50
4. Step 4: Simplify right side
   9,346.50x = 72,494,164.49
5. Step 5: Solve for x
   x = 72,494,164.49/9,346.50
6. Step 6: Final answer
   x = 7,756.29