Finding the Fourth Proportional to 1,546.56, 2,317.90 and 1,105.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,546.56 : 2,317.90 = 1,105.52 : x
2. Step 2: Convert to fraction form
   1,546.56/2,317.90 = 1,105.52/x
3. Step 3: Cross multiply
   1,546.56x = 2,317.90 × 1,105.52
4. Step 4: Simplify right side
   1,546.56x = 2,562,484.81
5. Step 5: Solve for x
   x = 2,562,484.81/1,546.56
6. Step 6: Final answer
   x = 1,656.89