Finding the Fourth Proportional to 1,407.57, 2,111.62 and 541.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.57 : 2,111.62 = 541.82 : x
2. Step 2: Convert to fraction form
   1,407.57/2,111.62 = 541.82/x
3. Step 3: Cross multiply
   1,407.57x = 2,111.62 × 541.82
4. Step 4: Simplify right side
   1,407.57x = 1,144,117.95
5. Step 5: Solve for x
   x = 1,144,117.95/1,407.57
6. Step 6: Final answer
   x = 812.83