Finding the Fourth Proportional to 11,859.34, 17,782.62 and 5,923.30

Step by Step Solution

1. Step 1: Write the proportion equation
   11,859.34 : 17,782.62 = 5,923.30 : x
2. Step 2: Convert to fraction form
   11,859.34/17,782.62 = 5,923.30/x
3. Step 3: Cross multiply
   11,859.34x = 17,782.62 × 5,923.30
4. Step 4: Simplify right side
   11,859.34x = 105,331,793.05
5. Step 5: Solve for x
   x = 105,331,793.05/11,859.34
6. Step 6: Final answer
   x = 8,881.76