Finding the Fourth Proportional to 11,678.42, 17,523.04 and 5,838.86

Step by Step Solution

1. Step 1: Write the proportion equation
   11,678.42 : 17,523.04 = 5,838.86 : x
2. Step 2: Convert to fraction form
   11,678.42/17,523.04 = 5,838.86/x
3. Step 3: Cross multiply
   11,678.42x = 17,523.04 × 5,838.86
4. Step 4: Simplify right side
   11,678.42x = 102,314,577.33
5. Step 5: Solve for x
   x = 102,314,577.33/11,678.42
6. Step 6: Final answer
   x = 8,760.99