Finding the Fourth Proportional to 9,185, 12,676.37 and 5,152.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185 : 12,676.37 = 5,152.94 : x
2. Step 2: Convert to fraction form
   9,185/12,676.37 = 5,152.94/x
3. Step 3: Cross multiply
   9,185x = 12,676.37 × 5,152.94
4. Step 4: Simplify right side
   9,185x = 65,320,548.26
5. Step 5: Solve for x
   x = 65,320,548.26/9,185
6. Step 6: Final answer
   x = 7,111.65