Finding the Fourth Proportional to 9,538.82, 13,156.14 and 5,758.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.82 : 13,156.14 = 5,758.04 : x
2. Step 2: Convert to fraction form
   9,538.82/13,156.14 = 5,758.04/x
3. Step 3: Cross multiply
   9,538.82x = 13,156.14 × 5,758.04
4. Step 4: Simplify right side
   9,538.82x = 75,753,580.37
5. Step 5: Solve for x
   x = 75,753,580.37/9,538.82
6. Step 6: Final answer
   x = 7,941.61