Finding the Fourth Proportional to 5,191.55, 7,789.76 and 2,269.48

Step by Step Solution

1. Step 1: Write the proportion equation
   5,191.55 : 7,789.76 = 2,269.48 : x
2. Step 2: Convert to fraction form
   5,191.55/7,789.76 = 2,269.48/x
3. Step 3: Cross multiply
   5,191.55x = 7,789.76 × 2,269.48
4. Step 4: Simplify right side
   5,191.55x = 17,678,654.23
5. Step 5: Solve for x
   x = 17,678,654.23/5,191.55
6. Step 6: Final answer
   x = 3,405.27