Finding the Fourth Proportional to 4,775.76, 7,105.86 and 4,656.72

Step by Step Solution

1. Step 1: Write the proportion equation
   4,775.76 : 7,105.86 = 4,656.72 : x
2. Step 2: Convert to fraction form
   4,775.76/7,105.86 = 4,656.72/x
3. Step 3: Cross multiply
   4,775.76x = 7,105.86 × 4,656.72
4. Step 4: Simplify right side
   4,775.76x = 33,090,000.38
5. Step 5: Solve for x
   x = 33,090,000.38/4,775.76
6. Step 6: Final answer
   x = 6,928.74