Finding the Fourth Proportional to 1,111.38, 1,533.71 and 614.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.38 : 1,533.71 = 614.02 : x
2. Step 2: Convert to fraction form
   1,111.38/1,533.71 = 614.02/x
3. Step 3: Cross multiply
   1,111.38x = 1,533.71 × 614.02
4. Step 4: Simplify right side
   1,111.38x = 941,728.61
5. Step 5: Solve for x
   x = 941,728.61/1,111.38
6. Step 6: Final answer
   x = 847.35