Finding the Fourth Proportional to 11,774.24, 17,667.56 and 5,204.96

Step by Step Solution

1. Step 1: Write the proportion equation
   11,774.24 : 17,667.56 = 5,204.96 : x
2. Step 2: Convert to fraction form
   11,774.24/17,667.56 = 5,204.96/x
3. Step 3: Cross multiply
   11,774.24x = 17,667.56 × 5,204.96
4. Step 4: Simplify right side
   11,774.24x = 91,958,943.10
5. Step 5: Solve for x
   x = 91,958,943.10/11,774.24
6. Step 6: Final answer
   x = 7,810.18