Finding the Fourth Proportional to 9,301.42, 12,834.21 and 5,765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,301.42 : 12,834.21 = 5,765.50 : x
2. Step 2: Convert to fraction form
   9,301.42/12,834.21 = 5,765.50/x
3. Step 3: Cross multiply
   9,301.42x = 12,834.21 × 5,765.50
4. Step 4: Simplify right side
   9,301.42x = 73,995,637.76
5. Step 5: Solve for x
   x = 73,995,637.76/9,301.42
6. Step 6: Final answer
   x = 7,955.31