Finding the Fourth Proportional to 9,811.68, 13,539.41 and 5,562.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,811.68 : 13,539.41 = 5,562.82 : x
2. Step 2: Convert to fraction form
   9,811.68/13,539.41 = 5,562.82/x
3. Step 3: Cross multiply
   9,811.68x = 13,539.41 × 5,562.82
4. Step 4: Simplify right side
   9,811.68x = 75,317,272.92
5. Step 5: Solve for x
   x = 75,317,272.92/9,811.68
6. Step 6: Final answer
   x = 7,676.29