Finding the Fourth Proportional to 2,513.34, 3,770.10 and 782.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,513.34 : 3,770.10 = 782.10 : x
2. Step 2: Convert to fraction form
   2,513.34/3,770.10 = 782.10/x
3. Step 3: Cross multiply
   2,513.34x = 3,770.10 × 782.10
4. Step 4: Simplify right side
   2,513.34x = 2,948,595.21
5. Step 5: Solve for x
   x = 2,948,595.21/2,513.34
6. Step 6: Final answer
   x = 1,173.18