Finding the Fourth Proportional to 13,103.06, 19,633.92 and 7,825.10

Step by Step Solution

1. Step 1: Write the proportion equation
   13,103.06 : 19,633.92 = 7,825.10 : x
2. Step 2: Convert to fraction form
   13,103.06/19,633.92 = 7,825.10/x
3. Step 3: Cross multiply
   13,103.06x = 19,633.92 × 7,825.10
4. Step 4: Simplify right side
   13,103.06x = 153,637,387.39
5. Step 5: Solve for x
   x = 153,637,387.39/13,103.06
6. Step 6: Final answer
   x = 11,725.31