Finding the Fourth Proportional to 978.06, 1,467.42 and 429.96

Step by Step Solution

1. Step 1: Write the proportion equation
   978.06 : 1,467.42 = 429.96 : x
2. Step 2: Convert to fraction form
   978.06/1,467.42 = 429.96/x
3. Step 3: Cross multiply
   978.06x = 1,467.42 × 429.96
4. Step 4: Simplify right side
   978.06x = 630,931.90
5. Step 5: Solve for x
   x = 630,931.90/978.06
6. Step 6: Final answer
   x = 645.09