Finding the Fourth Proportional to 9,298.56, 12,838.08 and 5,766.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,298.56 : 12,838.08 = 5,766.96 : x
2. Step 2: Convert to fraction form
   9,298.56/12,838.08 = 5,766.96/x
3. Step 3: Cross multiply
   9,298.56x = 12,838.08 × 5,766.96
4. Step 4: Simplify right side
   9,298.56x = 74,036,693.84
5. Step 5: Solve for x
   x = 74,036,693.84/9,298.56
6. Step 6: Final answer
   x = 7,962.17