Finding the Fourth Proportional to 11,805.83, 16,256.88 and 11,543.88

Step by Step Solution

1. Step 1: Write the proportion equation
   11,805.83 : 16,256.88 = 11,543.88 : x
2. Step 2: Convert to fraction form
   11,805.83/16,256.88 = 11,543.88/x
3. Step 3: Cross multiply
   11,805.83x = 16,256.88 × 11,543.88
4. Step 4: Simplify right side
   11,805.83x = 187,667,471.89
5. Step 5: Solve for x
   x = 187,667,471.89/11,805.83
6. Step 6: Final answer
   x = 15,896.17