Finding the Fourth Proportional to 1,464.90, 2,199.17 and 1,406.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.90 : 2,199.17 = 1,406.58 : x
2. Step 2: Convert to fraction form
   1,464.90/2,199.17 = 1,406.58/x
3. Step 3: Cross multiply
   1,464.90x = 2,199.17 × 1,406.58
4. Step 4: Simplify right side
   1,464.90x = 3,093,308.54
5. Step 5: Solve for x
   x = 3,093,308.54/1,464.90
6. Step 6: Final answer
   x = 2,111.62