Finding the Fourth Proportional to 11,780.05, 16,256.76 and 6,475.00

Step by Step Solution

1. Step 1: Write the proportion equation
   11,780.05 : 16,256.76 = 6,475.00 : x
2. Step 2: Convert to fraction form
   11,780.05/16,256.76 = 6,475.00/x
3. Step 3: Cross multiply
   11,780.05x = 16,256.76 × 6,475.00
4. Step 4: Simplify right side
   11,780.05x = 105,262,439.72
5. Step 5: Solve for x
   x = 105,262,439.72/11,780.05
6. Step 6: Final answer
   x = 8,935.66