Finding the Fourth Proportional to 1,477.85, 2,205.33 and 1,314.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.85 : 2,205.33 = 1,314.23 : x
2. Step 2: Convert to fraction form
   1,477.85/2,205.33 = 1,314.23/x
3. Step 3: Cross multiply
   1,477.85x = 2,205.33 × 1,314.23
4. Step 4: Simplify right side
   1,477.85x = 2,898,294.89
5. Step 5: Solve for x
   x = 2,898,294.89/1,477.85
6. Step 6: Final answer
   x = 1,961.16