Finding the Fourth Proportional to 10,875.81, 16,314.06 and 3,856.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,875.81 : 16,314.06 = 3,856.91 : x
2. Step 2: Convert to fraction form
   10,875.81/16,314.06 = 3,856.91/x
3. Step 3: Cross multiply
   10,875.81x = 16,314.06 × 3,856.91
4. Step 4: Simplify right side
   10,875.81x = 62,921,779.58
5. Step 5: Solve for x
   x = 62,921,779.58/10,875.81
6. Step 6: Final answer
   x = 5,785.48