Finding the Fourth Proportional to 2,131.20, 3,188.64 and 1,402.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,131.20 : 3,188.64 = 1,402.56 : x
2. Step 2: Convert to fraction form
   2,131.20/3,188.64 = 1,402.56/x
3. Step 3: Cross multiply
   2,131.20x = 3,188.64 × 1,402.56
4. Step 4: Simplify right side
   2,131.20x = 4,472,258.92
5. Step 5: Solve for x
   x = 4,472,258.92/2,131.20
6. Step 6: Final answer
   x = 2,098.47