Finding the Fourth Proportional to 1,500.94, 2,250.96 and 770.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,500.94 : 2,250.96 = 770.42 : x
2. Step 2: Convert to fraction form
   1,500.94/2,250.96 = 770.42/x
3. Step 3: Cross multiply
   1,500.94x = 2,250.96 × 770.42
4. Step 4: Simplify right side
   1,500.94x = 1,734,187.34
5. Step 5: Solve for x
   x = 1,734,187.34/1,500.94
6. Step 6: Final answer
   x = 1,155.40