Finding the Fourth Proportional to 978.04, 1,464.72 and 772.12

Step by Step Solution

1. Step 1: Write the proportion equation
   978.04 : 1,464.72 = 772.12 : x
2. Step 2: Convert to fraction form
   978.04/1,464.72 = 772.12/x
3. Step 3: Cross multiply
   978.04x = 1,464.72 × 772.12
4. Step 4: Simplify right side
   978.04x = 1,130,939.61
5. Step 5: Solve for x
   x = 1,130,939.61/978.04
6. Step 6: Final answer
   x = 1,156.33