Finding the Fourth Proportional to 1,111.50, 1,533.84 and 614.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.50 : 1,533.84 = 614.12 : x
2. Step 2: Convert to fraction form
   1,111.50/1,533.84 = 614.12/x
3. Step 3: Cross multiply
   1,111.50x = 1,533.84 × 614.12
4. Step 4: Simplify right side
   1,111.50x = 941,954.15
5. Step 5: Solve for x
   x = 941,954.15/1,111.50
6. Step 6: Final answer
   x = 847.46