Finding the Fourth Proportional to 2,501.69, 3,752.61 and 770.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,501.69 : 3,752.61 = 770.32 : x
2. Step 2: Convert to fraction form
   2,501.69/3,752.61 = 770.32/x
3. Step 3: Cross multiply
   2,501.69x = 3,752.61 × 770.32
4. Step 4: Simplify right side
   2,501.69x = 2,890,710.54
5. Step 5: Solve for x
   x = 2,890,710.54/2,501.69
6. Step 6: Final answer
   x = 1,155.50