Finding the Fourth Proportional to 11,780.17, 17,644.88 and 5,530.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,780.17 : 17,644.88 = 5,530.82 : x
2. Step 2: Convert to fraction form
   11,780.17/17,644.88 = 5,530.82/x
3. Step 3: Cross multiply
   11,780.17x = 17,644.88 × 5,530.82
4. Step 4: Simplify right side
   11,780.17x = 97,590,655.20
5. Step 5: Solve for x
   x = 97,590,655.20/11,780.17
6. Step 6: Final answer
   x = 8,284.32