Finding the Fourth Proportional to 12,824.51, 17,698.29 and 7,446.55

Step by Step Solution

1. Step 1: Write the proportion equation
   12,824.51 : 17,698.29 = 7,446.55 : x
2. Step 2: Convert to fraction form
   12,824.51/17,698.29 = 7,446.55/x
3. Step 3: Cross multiply
   12,824.51x = 17,698.29 × 7,446.55
4. Step 4: Simplify right side
   12,824.51x = 131,791,075.68
5. Step 5: Solve for x
   x = 131,791,075.68/12,824.51
6. Step 6: Final answer
   x = 10,276.50