Finding the Fourth Proportional to 1,111.25, 1,533.41 and 613.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.25 : 1,533.41 = 613.77 : x
2. Step 2: Convert to fraction form
   1,111.25/1,533.41 = 613.77/x
3. Step 3: Cross multiply
   1,111.25x = 1,533.41 × 613.77
4. Step 4: Simplify right side
   1,111.25x = 941,160.29
5. Step 5: Solve for x
   x = 941,160.29/1,111.25
6. Step 6: Final answer
   x = 846.94