Finding the Fourth Proportional to 11,775.58, 17,667.90 and 5,197.12

Step by Step Solution

1. Step 1: Write the proportion equation
   11,775.58 : 17,667.90 = 5,197.12 : x
2. Step 2: Convert to fraction form
   11,775.58/17,667.90 = 5,197.12/x
3. Step 3: Cross multiply
   11,775.58x = 17,667.90 × 5,197.12
4. Step 4: Simplify right side
   11,775.58x = 91,822,196.45
5. Step 5: Solve for x
   x = 91,822,196.45/11,775.58
6. Step 6: Final answer
   x = 7,797.68