Finding the Fourth Proportional to 3,742.65, 5,614.29 and 969.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,742.65 : 5,614.29 = 969.30 : x
2. Step 2: Convert to fraction form
   3,742.65/5,614.29 = 969.30/x
3. Step 3: Cross multiply
   3,742.65x = 5,614.29 × 969.30
4. Step 4: Simplify right side
   3,742.65x = 5,441,931.30
5. Step 5: Solve for x
   x = 5,441,931.30/3,742.65
6. Step 6: Final answer
   x = 1,454.03