Finding the Fourth Proportional to 2,513.20, 3,770.56 and 781.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,513.20 : 3,770.56 = 781.84 : x
2. Step 2: Convert to fraction form
   2,513.20/3,770.56 = 781.84/x
3. Step 3: Cross multiply
   2,513.20x = 3,770.56 × 781.84
4. Step 4: Simplify right side
   2,513.20x = 2,947,974.63
5. Step 5: Solve for x
   x = 2,947,974.63/2,513.20
6. Step 6: Final answer
   x = 1,173.00