Finding the Fourth Proportional to 9,590.72, 13,234.64 and 5,342

Step by Step Solution

1. Step 1: Write the proportion equation
   9,590.72 : 13,234.64 = 5,342 : x
2. Step 2: Convert to fraction form
   9,590.72/13,234.64 = 5,342/x
3. Step 3: Cross multiply
   9,590.72x = 13,234.64 × 5,342
4. Step 4: Simplify right side
   9,590.72x = 70,699,446.88
5. Step 5: Solve for x
   x = 70,699,446.88/9,590.72
6. Step 6: Final answer
   x = 7,371.65