Finding the Fourth Proportional to 11,787.52, 17,667.04 and 5,206.24

Step by Step Solution

1. Step 1: Write the proportion equation
   11,787.52 : 17,667.04 = 5,206.24 : x
2. Step 2: Convert to fraction form
   11,787.52/17,667.04 = 5,206.24/x
3. Step 3: Cross multiply
   11,787.52x = 17,667.04 × 5,206.24
4. Step 4: Simplify right side
   11,787.52x = 91,978,850.33
5. Step 5: Solve for x
   x = 91,978,850.33/11,787.52
6. Step 6: Final answer
   x = 7,803.07