Finding the Fourth Proportional to 11,812.42, 17,709.83 and 5,147.66

Step by Step Solution

1. Step 1: Write the proportion equation
   11,812.42 : 17,709.83 = 5,147.66 : x
2. Step 2: Convert to fraction form
   11,812.42/17,709.83 = 5,147.66/x
3. Step 3: Cross multiply
   11,812.42x = 17,709.83 × 5,147.66
4. Step 4: Simplify right side
   11,812.42x = 91,164,088.51
5. Step 5: Solve for x
   x = 91,164,088.51/11,812.42
6. Step 6: Final answer
   x = 7,717.65