Finding the Fourth Proportional to 2,513.86, 3,770.88 and 782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,513.86 : 3,770.88 = 782.50 : x
2. Step 2: Convert to fraction form
   2,513.86/3,770.88 = 782.50/x
3. Step 3: Cross multiply
   2,513.86x = 3,770.88 × 782.50
4. Step 4: Simplify right side
   2,513.86x = 2,950,713.60
5. Step 5: Solve for x
   x = 2,950,713.60/2,513.86
6. Step 6: Final answer
   x = 1,173.78