Finding the Fourth Proportional to 2,522.64, 3,779.68 and 1,546.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,522.64 : 3,779.68 = 1,546.72 : x
2. Step 2: Convert to fraction form
   2,522.64/3,779.68 = 1,546.72/x
3. Step 3: Cross multiply
   2,522.64x = 3,779.68 × 1,546.72
4. Step 4: Simplify right side
   2,522.64x = 5,846,106.65
5. Step 5: Solve for x
   x = 5,846,106.65/2,522.64
6. Step 6: Final answer
   x = 2,317.46