Finding the Fourth Proportional to 2,527.50, 3,788.65 and 967.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,527.50 : 3,788.65 = 967.14 : x
2. Step 2: Convert to fraction form
   2,527.50/3,788.65 = 967.14/x
3. Step 3: Cross multiply
   2,527.50x = 3,788.65 × 967.14
4. Step 4: Simplify right side
   2,527.50x = 3,664,131.18
5. Step 5: Solve for x
   x = 3,664,131.18/2,527.50
6. Step 6: Final answer
   x = 1,449.71