Finding the Fourth Proportional to 11,856.30, 16,365.10 and 7,826.07

Step by Step Solution

1. Step 1: Write the proportion equation
   11,856.30 : 16,365.10 = 7,826.07 : x
2. Step 2: Convert to fraction form
   11,856.30/16,365.10 = 7,826.07/x
3. Step 3: Cross multiply
   11,856.30x = 16,365.10 × 7,826.07
4. Step 4: Simplify right side
   11,856.30x = 128,074,418.16
5. Step 5: Solve for x
   x = 128,074,418.16/11,856.30
6. Step 6: Final answer
   x = 10,802.22