Finding the Fourth Proportional to 1,513.64, 2,269.31 and 782.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,513.64 : 2,269.31 = 782.75 : x
2. Step 2: Convert to fraction form
   1,513.64/2,269.31 = 782.75/x
3. Step 3: Cross multiply
   1,513.64x = 2,269.31 × 782.75
4. Step 4: Simplify right side
   1,513.64x = 1,776,310.03
5. Step 5: Solve for x
   x = 1,776,310.03/1,513.64
6. Step 6: Final answer
   x = 1,173.53