Finding the Fourth Proportional to 9,816.12, 13,546.72 and 5,624.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,816.12 : 13,546.72 = 5,624.38 : x
2. Step 2: Convert to fraction form
   9,816.12/13,546.72 = 5,624.38/x
3. Step 3: Cross multiply
   9,816.12x = 13,546.72 × 5,624.38
4. Step 4: Simplify right side
   9,816.12x = 76,191,901.03
5. Step 5: Solve for x
   x = 76,191,901.03/9,816.12
6. Step 6: Final answer
   x = 7,761.92