Finding the Fourth Proportional to 11,780.37, 16,256.61 and 6,475.05

Step by Step Solution

1. Step 1: Write the proportion equation
   11,780.37 : 16,256.61 = 6,475.05 : x
2. Step 2: Convert to fraction form
   11,780.37/16,256.61 = 6,475.05/x
3. Step 3: Cross multiply
   11,780.37x = 16,256.61 × 6,475.05
4. Step 4: Simplify right side
   11,780.37x = 105,262,362.58
5. Step 5: Solve for x
   x = 105,262,362.58/11,780.37
6. Step 6: Final answer
   x = 8,935.40