Finding the Fourth Proportional to 11,905.30, 17,833.65 and 5,646.34

Step by Step Solution

1. Step 1: Write the proportion equation
   11,905.30 : 17,833.65 = 5,646.34 : x
2. Step 2: Convert to fraction form
   11,905.30/17,833.65 = 5,646.34/x
3. Step 3: Cross multiply
   11,905.30x = 17,833.65 × 5,646.34
4. Step 4: Simplify right side
   11,905.30x = 100,694,851.34
5. Step 5: Solve for x
   x = 100,694,851.34/11,905.30
6. Step 6: Final answer
   x = 8,457.99