Finding the Fourth Proportional to 1,111.14, 1,533.47 and 613.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.14 : 1,533.47 = 613.86 : x
2. Step 2: Convert to fraction form
   1,111.14/1,533.47 = 613.86/x
3. Step 3: Cross multiply
   1,111.14x = 1,533.47 × 613.86
4. Step 4: Simplify right side
   1,111.14x = 941,335.89
5. Step 5: Solve for x
   x = 941,335.89/1,111.14
6. Step 6: Final answer
   x = 847.18