Finding the Fourth Proportional to 2,535.58, 3,802.44 and 974.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,535.58 : 3,802.44 = 974.78 : x
2. Step 2: Convert to fraction form
   2,535.58/3,802.44 = 974.78/x
3. Step 3: Cross multiply
   2,535.58x = 3,802.44 × 974.78
4. Step 4: Simplify right side
   2,535.58x = 3,706,523.45
5. Step 5: Solve for x
   x = 3,706,523.45/2,535.58
6. Step 6: Final answer
   x = 1,461.81