Finding the Fourth Proportional to 9,812.40, 13,538.06 and 5,562.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,812.40 : 13,538.06 = 5,562.76 : x
2. Step 2: Convert to fraction form
   9,812.40/13,538.06 = 5,562.76/x
3. Step 3: Cross multiply
   9,812.40x = 13,538.06 × 5,562.76
4. Step 4: Simplify right side
   9,812.40x = 75,308,978.65
5. Step 5: Solve for x
   x = 75,308,978.65/9,812.40
6. Step 6: Final answer
   x = 7,674.88