Finding the Fourth Proportional to 1,146.10, 1,581.61 and 622.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.10 : 1,581.61 = 622.13 : x
2. Step 2: Convert to fraction form
   1,146.10/1,581.61 = 622.13/x
3. Step 3: Cross multiply
   1,146.10x = 1,581.61 × 622.13
4. Step 4: Simplify right side
   1,146.10x = 983,967.03
5. Step 5: Solve for x
   x = 983,967.03/1,146.10
6. Step 6: Final answer
   x = 858.54