Finding the Fourth Proportional to 12,840.93, 17,723.61 and 7,538.67

Step by Step Solution

1. Step 1: Write the proportion equation
   12,840.93 : 17,723.61 = 7,538.67 : x
2. Step 2: Convert to fraction form
   12,840.93/17,723.61 = 7,538.67/x
3. Step 3: Cross multiply
   12,840.93x = 17,723.61 × 7,538.67
4. Step 4: Simplify right side
   12,840.93x = 133,612,447.00
5. Step 5: Solve for x
   x = 133,612,447.00/12,840.93
6. Step 6: Final answer
   x = 10,405.20