Finding the Fourth Proportional to 1,407.98, 2,111.37 and 541.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.98 : 2,111.37 = 541.69 : x
2. Step 2: Convert to fraction form
   1,407.98/2,111.37 = 541.69/x
3. Step 3: Cross multiply
   1,407.98x = 2,111.37 × 541.69
4. Step 4: Simplify right side
   1,407.98x = 1,143,700.71
5. Step 5: Solve for x
   x = 1,143,700.71/1,407.98
6. Step 6: Final answer
   x = 812.30