Finding the Fourth Proportional to 11,892.77, 17,814.92 and 5,633.81

Step by Step Solution

1. Step 1: Write the proportion equation
   11,892.77 : 17,814.92 = 5,633.81 : x
2. Step 2: Convert to fraction form
   11,892.77/17,814.92 = 5,633.81/x
3. Step 3: Cross multiply
   11,892.77x = 17,814.92 × 5,633.81
4. Step 4: Simplify right side
   11,892.77x = 100,365,785.37
5. Step 5: Solve for x
   x = 100,365,785.37/11,892.77
6. Step 6: Final answer
   x = 8,439.23