Finding the Fourth Proportional to 11,588.83, 16,005.72 and 7,805.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,588.83 : 16,005.72 = 7,805.42 : x
2. Step 2: Convert to fraction form
   11,588.83/16,005.72 = 7,805.42/x
3. Step 3: Cross multiply
   11,588.83x = 16,005.72 × 7,805.42
4. Step 4: Simplify right side
   11,588.83x = 124,931,367.00
5. Step 5: Solve for x
   x = 124,931,367.00/11,588.83
6. Step 6: Final answer
   x = 10,780.33