Finding the Fourth Proportional to 1,091.97, 1,638.72 and 476.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.97 : 1,638.72 = 476.10 : x
2. Step 2: Convert to fraction form
   1,091.97/1,638.72 = 476.10/x
3. Step 3: Cross multiply
   1,091.97x = 1,638.72 × 476.10
4. Step 4: Simplify right side
   1,091.97x = 780,194.59
5. Step 5: Solve for x
   x = 780,194.59/1,091.97
6. Step 6: Final answer
   x = 714.48