Finding the Fourth Proportional to 11,005.29, 15,166.31 and 7,856.01

Step by Step Solution

1. Step 1: Write the proportion equation
   11,005.29 : 15,166.31 = 7,856.01 : x
2. Step 2: Convert to fraction form
   11,005.29/15,166.31 = 7,856.01/x
3. Step 3: Cross multiply
   11,005.29x = 15,166.31 × 7,856.01
4. Step 4: Simplify right side
   11,005.29x = 119,146,643.74
5. Step 5: Solve for x
   x = 119,146,643.74/11,005.29
6. Step 6: Final answer
   x = 10,826.31