Finding the Fourth Proportional to 11,873.25, 17,816.00 and 5,214.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,873.25 : 17,816.00 = 5,214.42 : x
2. Step 2: Convert to fraction form
   11,873.25/17,816.00 = 5,214.42/x
3. Step 3: Cross multiply
   11,873.25x = 17,816.00 × 5,214.42
4. Step 4: Simplify right side
   11,873.25x = 92,900,097.45
5. Step 5: Solve for x
   x = 92,900,097.45/11,873.25
6. Step 6: Final answer
   x = 7,824.32