Finding the Fourth Proportional to 11,769.94, 17,659.49 and 5,191.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,769.94 : 17,659.49 = 5,191.50 : x
2. Step 2: Convert to fraction form
   11,769.94/17,659.49 = 5,191.50/x
3. Step 3: Cross multiply
   11,769.94x = 17,659.49 × 5,191.50
4. Step 4: Simplify right side
   11,769.94x = 91,679,242.34
5. Step 5: Solve for x
   x = 91,679,242.34/11,769.94
6. Step 6: Final answer
   x = 7,789.27