Finding the Fourth Proportional to 1,854.72, 2,561.76 and 1,466.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,854.72 : 2,561.76 = 1,466.88 : x
2. Step 2: Convert to fraction form
   1,854.72/2,561.76 = 1,466.88/x
3. Step 3: Cross multiply
   1,854.72x = 2,561.76 × 1,466.88
4. Step 4: Simplify right side
   1,854.72x = 3,757,794.51
5. Step 5: Solve for x
   x = 3,757,794.51/1,854.72
6. Step 6: Final answer
   x = 2,026.07