Finding the Fourth Proportional to 2,513.57, 3,770.48 and 782.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,513.57 : 3,770.48 = 782.19 : x
2. Step 2: Convert to fraction form
   2,513.57/3,770.48 = 782.19/x
3. Step 3: Cross multiply
   2,513.57x = 3,770.48 × 782.19
4. Step 4: Simplify right side
   2,513.57x = 2,949,233.71
5. Step 5: Solve for x
   x = 2,949,233.71/2,513.57
6. Step 6: Final answer
   x = 1,173.33