Finding the Fourth Proportional to 11,774.67, 17,658.22 and 5,200.71

Step by Step Solution

1. Step 1: Write the proportion equation
   11,774.67 : 17,658.22 = 5,200.71 : x
2. Step 2: Convert to fraction form
   11,774.67/17,658.22 = 5,200.71/x
3. Step 3: Cross multiply
   11,774.67x = 17,658.22 × 5,200.71
4. Step 4: Simplify right side
   11,774.67x = 91,835,281.34
5. Step 5: Solve for x
   x = 91,835,281.34/11,774.67
6. Step 6: Final answer
   x = 7,799.39