Finding the Fourth Proportional to 11,780.67, 17,667.23 and 5,206.71

Step by Step Solution

1. Step 1: Write the proportion equation
   11,780.67 : 17,667.23 = 5,206.71 : x
2. Step 2: Convert to fraction form
   11,780.67/17,667.23 = 5,206.71/x
3. Step 3: Cross multiply
   11,780.67x = 17,667.23 × 5,206.71
4. Step 4: Simplify right side
   11,780.67x = 91,988,117.08
5. Step 5: Solve for x
   x = 91,988,117.08/11,780.67
6. Step 6: Final answer
   x = 7,808.39