Finding the Fourth Proportional to 12,852.55, 17,736.90 and 7,546.34

Step by Step Solution

1. Step 1: Write the proportion equation
   12,852.55 : 17,736.90 = 7,546.34 : x
2. Step 2: Convert to fraction form
   12,852.55/17,736.90 = 7,546.34/x
3. Step 3: Cross multiply
   12,852.55x = 17,736.90 × 7,546.34
4. Step 4: Simplify right side
   12,852.55x = 133,848,677.95
5. Step 5: Solve for x
   x = 133,848,677.95/12,852.55
6. Step 6: Final answer
   x = 10,414.17