Finding the Fourth Proportional to 11,563.50, 17,321.97 and 5,314.83

Step by Step Solution

1. Step 1: Write the proportion equation
   11,563.50 : 17,321.97 = 5,314.83 : x
2. Step 2: Convert to fraction form
   11,563.50/17,321.97 = 5,314.83/x
3. Step 3: Cross multiply
   11,563.50x = 17,321.97 × 5,314.83
4. Step 4: Simplify right side
   11,563.50x = 92,063,325.82
5. Step 5: Solve for x
   x = 92,063,325.82/11,563.50
6. Step 6: Final answer
   x = 7,961.55