Finding the Fourth Proportional to 1,546.80, 2,105.52 and 1,546.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,546.80 : 2,105.52 = 1,546.80 : x
2. Step 2: Convert to fraction form
   1,546.80/2,105.52 = 1,546.80/x
3. Step 3: Cross multiply
   1,546.80x = 2,105.52 × 1,546.80
4. Step 4: Simplify right side
   1,546.80x = 3,256,818.34
5. Step 5: Solve for x
   x = 3,256,818.34/1,546.80
6. Step 6: Final answer
   x = 2,105.52