Finding the Fourth Proportional to 2,534.82, 3,802.10 and 974.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,534.82 : 3,802.10 = 974.52 : x
2. Step 2: Convert to fraction form
   2,534.82/3,802.10 = 974.52/x
3. Step 3: Cross multiply
   2,534.82x = 3,802.10 × 974.52
4. Step 4: Simplify right side
   2,534.82x = 3,705,222.49
5. Step 5: Solve for x
   x = 3,705,222.49/2,534.82
6. Step 6: Final answer
   x = 1,461.73