Finding the Fourth Proportional to 11,828.31, 17,748.65 and 7,667.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,828.31 : 17,748.65 = 7,667.25 : x
2. Step 2: Convert to fraction form
   11,828.31/17,748.65 = 7,667.25/x
3. Step 3: Cross multiply
   11,828.31x = 17,748.65 × 7,667.25
4. Step 4: Simplify right side
   11,828.31x = 136,083,336.71
5. Step 5: Solve for x
   x = 136,083,336.71/11,828.31
6. Step 6: Final answer
   x = 11,504.88