Finding the Fourth Proportional to 2,141.16, 2,953.98 and 1,256.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.16 : 2,953.98 = 1,256.64 : x
2. Step 2: Convert to fraction form
   2,141.16/2,953.98 = 1,256.64/x
3. Step 3: Cross multiply
   2,141.16x = 2,953.98 × 1,256.64
4. Step 4: Simplify right side
   2,141.16x = 3,712,089.43
5. Step 5: Solve for x
   x = 3,712,089.43/2,141.16
6. Step 6: Final answer
   x = 1,733.68