Finding the Fourth Proportional to 5,538.82, 7,676.56 and 5,435.14

Step by Step Solution

1. Step 1: Write the proportion equation
   5,538.82 : 7,676.56 = 5,435.14 : x
2. Step 2: Convert to fraction form
   5,538.82/7,676.56 = 5,435.14/x
3. Step 3: Cross multiply
   5,538.82x = 7,676.56 × 5,435.14
4. Step 4: Simplify right side
   5,538.82x = 41,723,178.32
5. Step 5: Solve for x
   x = 41,723,178.32/5,538.82
6. Step 6: Final answer
   x = 7,532.86