Finding the Fourth Proportional to 2,302.32, 3,177.72 and 1,406.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,302.32 : 3,177.72 = 1,406.88 : x
2. Step 2: Convert to fraction form
   2,302.32/3,177.72 = 1,406.88/x
3. Step 3: Cross multiply
   2,302.32x = 3,177.72 × 1,406.88
4. Step 4: Simplify right side
   2,302.32x = 4,470,670.71
5. Step 5: Solve for x
   x = 4,470,670.71/2,302.32
6. Step 6: Final answer
   x = 1,941.81