Finding the Fourth Proportional to 1,111.23, 1,533.42 and 613.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.23 : 1,533.42 = 613.86 : x
2. Step 2: Convert to fraction form
   1,111.23/1,533.42 = 613.86/x
3. Step 3: Cross multiply
   1,111.23x = 1,533.42 × 613.86
4. Step 4: Simplify right side
   1,111.23x = 941,305.20
5. Step 5: Solve for x
   x = 941,305.20/1,111.23
6. Step 6: Final answer
   x = 847.08