Finding the Fourth Proportional to 11,770.50, 17,641.56 and 5,189.24

Step by Step Solution

1. Step 1: Write the proportion equation
   11,770.50 : 17,641.56 = 5,189.24 : x
2. Step 2: Convert to fraction form
   11,770.50/17,641.56 = 5,189.24/x
3. Step 3: Cross multiply
   11,770.50x = 17,641.56 × 5,189.24
4. Step 4: Simplify right side
   11,770.50x = 91,546,288.81
5. Step 5: Solve for x
   x = 91,546,288.81/11,770.50
6. Step 6: Final answer
   x = 7,777.60