Finding the Fourth Proportional to 12,852.50, 17,734.56 and 7,549.02

Step by Step Solution

1. Step 1: Write the proportion equation
   12,852.50 : 17,734.56 = 7,549.02 : x
2. Step 2: Convert to fraction form
   12,852.50/17,734.56 = 7,549.02/x
3. Step 3: Cross multiply
   12,852.50x = 17,734.56 × 7,549.02
4. Step 4: Simplify right side
   12,852.50x = 133,878,548.13
5. Step 5: Solve for x
   x = 133,878,548.13/12,852.50
6. Step 6: Final answer
   x = 10,416.54