Finding the Fourth Proportional to 1,005.83, 1,388.70 and 613.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.83 : 1,388.70 = 613.52 : x
2. Step 2: Convert to fraction form
   1,005.83/1,388.70 = 613.52/x
3. Step 3: Cross multiply
   1,005.83x = 1,388.70 × 613.52
4. Step 4: Simplify right side
   1,005.83x = 851,995.22
5. Step 5: Solve for x
   x = 851,995.22/1,005.83
6. Step 6: Final answer
   x = 847.06