Finding the Fourth Proportional to 11,771.50, 17,656.80 and 4,749.34

Step by Step Solution

1. Step 1: Write the proportion equation
   11,771.50 : 17,656.80 = 4,749.34 : x
2. Step 2: Convert to fraction form
   11,771.50/17,656.80 = 4,749.34/x
3. Step 3: Cross multiply
   11,771.50x = 17,656.80 × 4,749.34
4. Step 4: Simplify right side
   11,771.50x = 83,858,146.51
5. Step 5: Solve for x
   x = 83,858,146.51/11,771.50
6. Step 6: Final answer
   x = 7,123.83