Finding the Fourth Proportional to 1,111.19, 1,533.47 and 613.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.19 : 1,533.47 = 613.82 : x
2. Step 2: Convert to fraction form
   1,111.19/1,533.47 = 613.82/x
3. Step 3: Cross multiply
   1,111.19x = 1,533.47 × 613.82
4. Step 4: Simplify right side
   1,111.19x = 941,275.32
5. Step 5: Solve for x
   x = 941,275.32/1,111.19
6. Step 6: Final answer
   x = 847.09