Finding the Fourth Proportional to 9,541.30, 13,164.60 and 5,766.70

Step by Step Solution

1. Step 1: Write the proportion equation
   9,541.30 : 13,164.60 = 5,766.70 : x
2. Step 2: Convert to fraction form
   9,541.30/13,164.60 = 5,766.70/x
3. Step 3: Cross multiply
   9,541.30x = 13,164.60 × 5,766.70
4. Step 4: Simplify right side
   9,541.30x = 75,916,298.82
5. Step 5: Solve for x
   x = 75,916,298.82/9,541.30
6. Step 6: Final answer
   x = 7,956.60