Finding the Fourth Proportional to 1,061.20, 1,589.52 and 772

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.20 : 1,589.52 = 772 : x
2. Step 2: Convert to fraction form
   1,061.20/1,589.52 = 772/x
3. Step 3: Cross multiply
   1,061.20x = 1,589.52 × 772
4. Step 4: Simplify right side
   1,061.20x = 1,227,109.44
5. Step 5: Solve for x
   x = 1,227,109.44/1,061.20
6. Step 6: Final answer
   x = 1,156.34