Finding the Fourth Proportional to 9,742.34, 13,442.72 and 5,762

Step by Step Solution

1. Step 1: Write the proportion equation
   9,742.34 : 13,442.72 = 5,762 : x
2. Step 2: Convert to fraction form
   9,742.34/13,442.72 = 5,762/x
3. Step 3: Cross multiply
   9,742.34x = 13,442.72 × 5,762
4. Step 4: Simplify right side
   9,742.34x = 77,456,952.64
5. Step 5: Solve for x
   x = 77,456,952.64/9,742.34
6. Step 6: Final answer
   x = 7,950.55