Finding the Fourth Proportional to 9,288.42, 12,820.26 and 5,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,288.42 : 12,820.26 = 5,749.50 : x
2. Step 2: Convert to fraction form
   9,288.42/12,820.26 = 5,749.50/x
3. Step 3: Cross multiply
   9,288.42x = 12,820.26 × 5,749.50
4. Step 4: Simplify right side
   9,288.42x = 73,710,084.87
5. Step 5: Solve for x
   x = 73,710,084.87/9,288.42
6. Step 6: Final answer
   x = 7,935.70