Finding the Fourth Proportional to 11,892.83, 17,815.01 and 5,633.87

Step by Step Solution

1. Step 1: Write the proportion equation
   11,892.83 : 17,815.01 = 5,633.87 : x
2. Step 2: Convert to fraction form
   11,892.83/17,815.01 = 5,633.87/x
3. Step 3: Cross multiply
   11,892.83x = 17,815.01 × 5,633.87
4. Step 4: Simplify right side
   11,892.83x = 100,367,333.14
5. Step 5: Solve for x
   x = 100,367,333.14/11,892.83
6. Step 6: Final answer
   x = 8,439.32