Finding the Fourth Proportional to 1,111.77, 1,534.23 and 614.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.77 : 1,534.23 = 614.43 : x
2. Step 2: Convert to fraction form
   1,111.77/1,534.23 = 614.43/x
3. Step 3: Cross multiply
   1,111.77x = 1,534.23 × 614.43
4. Step 4: Simplify right side
   1,111.77x = 942,676.94
5. Step 5: Solve for x
   x = 942,676.94/1,111.77
6. Step 6: Final answer
   x = 847.91