Finding the Fourth Proportional to 9,406.86, 14,111.51 and 3,164.19

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.86 : 14,111.51 = 3,164.19 : x
2. Step 2: Convert to fraction form
   9,406.86/14,111.51 = 3,164.19/x
3. Step 3: Cross multiply
   9,406.86x = 14,111.51 × 3,164.19
4. Step 4: Simplify right side
   9,406.86x = 44,651,483.01
5. Step 5: Solve for x
   x = 44,651,483.01/9,406.86
6. Step 6: Final answer
   x = 4,746.69