Finding the Fourth Proportional to 1,591.10, 2,386.71 and 974.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,591.10 : 2,386.71 = 974.42 : x
2. Step 2: Convert to fraction form
   1,591.10/2,386.71 = 974.42/x
3. Step 3: Cross multiply
   1,591.10x = 2,386.71 × 974.42
4. Step 4: Simplify right side
   1,591.10x = 2,325,646.02
5. Step 5: Solve for x
   x = 2,325,646.02/1,591.10
6. Step 6: Final answer
   x = 1,461.66