Finding the Fourth Proportional to 2,152.72, 2,970.77 and 1,406.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152.72 : 2,970.77 = 1,406.23 : x
2. Step 2: Convert to fraction form
   2,152.72/2,970.77 = 1,406.23/x
3. Step 3: Cross multiply
   2,152.72x = 2,970.77 × 1,406.23
4. Step 4: Simplify right side
   2,152.72x = 4,177,585.90
5. Step 5: Solve for x
   x = 4,177,585.90/2,152.72
6. Step 6: Final answer
   x = 1,940.61