Finding the Fourth Proportional to 12,846, 17,722.56 and 7,538.88

Step by Step Solution

1. Step 1: Write the proportion equation
   12,846 : 17,722.56 = 7,538.88 : x
2. Step 2: Convert to fraction form
   12,846/17,722.56 = 7,538.88/x
3. Step 3: Cross multiply
   12,846x = 17,722.56 × 7,538.88
4. Step 4: Simplify right side
   12,846x = 133,608,253.13
5. Step 5: Solve for x
   x = 133,608,253.13/12,846
6. Step 6: Final answer
   x = 10,400.77