Finding the Fourth Proportional to 7,548.69, 10,414.32 and 5,563.98

Step by Step Solution

1. Step 1: Write the proportion equation
   7,548.69 : 10,414.32 = 5,563.98 : x
2. Step 2: Convert to fraction form
   7,548.69/10,414.32 = 5,563.98/x
3. Step 3: Cross multiply
   7,548.69x = 10,414.32 × 5,563.98
4. Step 4: Simplify right side
   7,548.69x = 57,945,068.19
5. Step 5: Solve for x
   x = 57,945,068.19/7,548.69
6. Step 6: Final answer
   x = 7,676.18