Finding the Fourth Proportional to 11,849.29, 17,774.24 and 5,607.83

Step by Step Solution

1. Step 1: Write the proportion equation
   11,849.29 : 17,774.24 = 5,607.83 : x
2. Step 2: Convert to fraction form
   11,849.29/17,774.24 = 5,607.83/x
3. Step 3: Cross multiply
   11,849.29x = 17,774.24 × 5,607.83
4. Step 4: Simplify right side
   11,849.29x = 99,674,932.70
5. Step 5: Solve for x
   x = 99,674,932.70/11,849.29
6. Step 6: Final answer
   x = 8,411.89