Finding the Fourth Proportional to 1,111.16, 1,533.39 and 613.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.16 : 1,533.39 = 613.78 : x
2. Step 2: Convert to fraction form
   1,111.16/1,533.39 = 613.78/x
3. Step 3: Cross multiply
   1,111.16x = 1,533.39 × 613.78
4. Step 4: Simplify right side
   1,111.16x = 941,157.98
5. Step 5: Solve for x
   x = 941,157.98/1,111.16
6. Step 6: Final answer
   x = 847.00