Finding the Fourth Proportional to 1,059.34, 1,462.42 and 765.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.34 : 1,462.42 = 765.30 : x
2. Step 2: Convert to fraction form
   1,059.34/1,462.42 = 765.30/x
3. Step 3: Cross multiply
   1,059.34x = 1,462.42 × 765.30
4. Step 4: Simplify right side
   1,059.34x = 1,119,190.03
5. Step 5: Solve for x
   x = 1,119,190.03/1,059.34
6. Step 6: Final answer
   x = 1,056.50