Finding the Fourth Proportional to 1,407.91, 2,111.75 and 434.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.91 : 2,111.75 = 434.01 : x
2. Step 2: Convert to fraction form
   1,407.91/2,111.75 = 434.01/x
3. Step 3: Cross multiply
   1,407.91x = 2,111.75 × 434.01
4. Step 4: Simplify right side
   1,407.91x = 916,514.89
5. Step 5: Solve for x
   x = 916,514.89/1,407.91
6. Step 6: Final answer
   x = 650.98