Finding the Fourth Proportional to 11,856.37, 17,770.88 and 5,617.95

Step by Step Solution

1. Step 1: Write the proportion equation
   11,856.37 : 17,770.88 = 5,617.95 : x
2. Step 2: Convert to fraction form
   11,856.37/17,770.88 = 5,617.95/x
3. Step 3: Cross multiply
   11,856.37x = 17,770.88 × 5,617.95
4. Step 4: Simplify right side
   11,856.37x = 99,835,929.34
5. Step 5: Solve for x
   x = 99,835,929.34/11,856.37
6. Step 6: Final answer
   x = 8,420.45