Finding the Fourth Proportional to 9,817.06, 13,546.02 and 5,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,817.06 : 13,546.02 = 5,624.50 : x
2. Step 2: Convert to fraction form
   9,817.06/13,546.02 = 5,624.50/x
3. Step 3: Cross multiply
   9,817.06x = 13,546.02 × 5,624.50
4. Step 4: Simplify right side
   9,817.06x = 76,189,589.49
5. Step 5: Solve for x
   x = 76,189,589.49/9,817.06
6. Step 6: Final answer
   x = 7,760.94