Finding the Fourth Proportional to 11,564.50, 17,323.47 and 5,315.83

Step by Step Solution

1. Step 1: Write the proportion equation
   11,564.50 : 17,323.47 = 5,315.83 : x
2. Step 2: Convert to fraction form
   11,564.50/17,323.47 = 5,315.83/x
3. Step 3: Cross multiply
   11,564.50x = 17,323.47 × 5,315.83
4. Step 4: Simplify right side
   11,564.50x = 92,088,621.53
5. Step 5: Solve for x
   x = 92,088,621.53/11,564.50
6. Step 6: Final answer
   x = 7,963.04