Finding the Fourth Proportional to 4,773.65, 7,146.56 and 3,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,773.65 : 7,146.56 = 3,546.50 : x
2. Step 2: Convert to fraction form
   4,773.65/7,146.56 = 3,546.50/x
3. Step 3: Cross multiply
   4,773.65x = 7,146.56 × 3,546.50
4. Step 4: Simplify right side
   4,773.65x = 25,345,248.17
5. Step 5: Solve for x
   x = 25,345,248.17/4,773.65
6. Step 6: Final answer
   x = 5,309.41