Finding the Fourth Proportional to 11,405.86, 17,084.79 and 5,842.30

Step by Step Solution

1. Step 1: Write the proportion equation
   11,405.86 : 17,084.79 = 5,842.30 : x
2. Step 2: Convert to fraction form
   11,405.86/17,084.79 = 5,842.30/x
3. Step 3: Cross multiply
   11,405.86x = 17,084.79 × 5,842.30
4. Step 4: Simplify right side
   11,405.86x = 99,814,468.62
5. Step 5: Solve for x
   x = 99,814,468.62/11,405.86
6. Step 6: Final answer
   x = 8,751.16