Finding the Fourth Proportional to 2,402.46, 3,316.53 and 1,407.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,402.46 : 3,316.53 = 1,407.42 : x
2. Step 2: Convert to fraction form
   2,402.46/3,316.53 = 1,407.42/x
3. Step 3: Cross multiply
   2,402.46x = 3,316.53 × 1,407.42
4. Step 4: Simplify right side
   2,402.46x = 4,667,750.65
5. Step 5: Solve for x
   x = 4,667,750.65/2,402.46
6. Step 6: Final answer
   x = 1,942.90