Finding the Fourth Proportional to 12,852.16, 17,735.52 and 7,546.84

Step by Step Solution

1. Step 1: Write the proportion equation
   12,852.16 : 17,735.52 = 7,546.84 : x
2. Step 2: Convert to fraction form
   12,852.16/17,735.52 = 7,546.84/x
3. Step 3: Cross multiply
   12,852.16x = 17,735.52 × 7,546.84
4. Step 4: Simplify right side
   12,852.16x = 133,847,131.76
5. Step 5: Solve for x
   x = 133,847,131.76/12,852.16
6. Step 6: Final answer
   x = 10,414.37