Finding the Fourth Proportional to 1,111.54, 1,533.86 and 614.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.54 : 1,533.86 = 614.16 : x
2. Step 2: Convert to fraction form
   1,111.54/1,533.86 = 614.16/x
3. Step 3: Cross multiply
   1,111.54x = 1,533.86 × 614.16
4. Step 4: Simplify right side
   1,111.54x = 942,035.46
5. Step 5: Solve for x
   x = 942,035.46/1,111.54
6. Step 6: Final answer
   x = 847.50