Finding the Fourth Proportional to 1,111.14, 1,533.29 and 613.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,111.14 : 1,533.29 = 613.70 : x
2. Step 2: Convert to fraction form
   1,111.14/1,533.29 = 613.70/x
3. Step 3: Cross multiply
   1,111.14x = 1,533.29 × 613.70
4. Step 4: Simplify right side
   1,111.14x = 940,980.07
5. Step 5: Solve for x
   x = 940,980.07/1,111.14
6. Step 6: Final answer
   x = 846.86