Finding the Fourth Proportional to 2,535.25, 3,802.29 and 974.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,535.25 : 3,802.29 = 974.74 : x
2. Step 2: Convert to fraction form
   2,535.25/3,802.29 = 974.74/x
3. Step 3: Cross multiply
   2,535.25x = 3,802.29 × 974.74
4. Step 4: Simplify right side
   2,535.25x = 3,706,244.15
5. Step 5: Solve for x
   x = 3,706,244.15/2,535.25
6. Step 6: Final answer
   x = 1,461.89