Finding the Fourth Proportional to 9,742.10, 13,443.73 and 5,493.29

Step by Step Solution

1. Step 1: Write the proportion equation
   9,742.10 : 13,443.73 = 5,493.29 : x
2. Step 2: Convert to fraction form
   9,742.10/13,443.73 = 5,493.29/x
3. Step 3: Cross multiply
   9,742.10x = 13,443.73 × 5,493.29
4. Step 4: Simplify right side
   9,742.10x = 73,850,226.62
5. Step 5: Solve for x
   x = 73,850,226.62/9,742.10
6. Step 6: Final answer
   x = 7,580.53