Finding the Fourth Proportional to 9,812.38, 13,538.08 and 5,562.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,812.38 : 13,538.08 = 5,562.76 : x
2. Step 2: Convert to fraction form
   9,812.38/13,538.08 = 5,562.76/x
3. Step 3: Cross multiply
   9,812.38x = 13,538.08 × 5,562.76
4. Step 4: Simplify right side
   9,812.38x = 75,309,089.90
5. Step 5: Solve for x
   x = 75,309,089.90/9,812.38
6. Step 6: Final answer
   x = 7,674.91