Finding the Fourth Proportional to 9,302.42, 12,835.58 and 5,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,302.42 : 12,835.58 = 5,766.50 : x
2. Step 2: Convert to fraction form
   9,302.42/12,835.58 = 5,766.50/x
3. Step 3: Cross multiply
   9,302.42x = 12,835.58 × 5,766.50
4. Step 4: Simplify right side
   9,302.42x = 74,016,372.07
5. Step 5: Solve for x
   x = 74,016,372.07/9,302.42
6. Step 6: Final answer
   x = 7,956.68