Finding the Fourth Proportional to 9,406.68, 14,111.49 and 3,784.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.68 : 14,111.49 = 3,784.32 : x
2. Step 2: Convert to fraction form
   9,406.68/14,111.49 = 3,784.32/x
3. Step 3: Cross multiply
   9,406.68x = 14,111.49 × 3,784.32
4. Step 4: Simplify right side
   9,406.68x = 53,402,393.84
5. Step 5: Solve for x
   x = 53,402,393.84/9,406.68
6. Step 6: Final answer
   x = 5,677.07