Finding the Fourth Proportional to 1,407.83, 2,111.73 and 433.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.83 : 2,111.73 = 433.94 : x
2. Step 2: Convert to fraction form
   1,407.83/2,111.73 = 433.94/x
3. Step 3: Cross multiply
   1,407.83x = 2,111.73 × 433.94
4. Step 4: Simplify right side
   1,407.83x = 916,353.56
5. Step 5: Solve for x
   x = 916,353.56/1,407.83
6. Step 6: Final answer
   x = 650.90