Finding the Fourth Proportional to 1,513.83, 2,265.86 and 782.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,513.83 : 2,265.86 = 782.40 : x
2. Step 2: Convert to fraction form
   1,513.83/2,265.86 = 782.40/x
3. Step 3: Cross multiply
   1,513.83x = 2,265.86 × 782.40
4. Step 4: Simplify right side
   1,513.83x = 1,772,804.95
5. Step 5: Solve for x
   x = 1,772,804.95/1,513.83
6. Step 6: Final answer
   x = 1,171.07