Finding the Fourth Proportional to 1,137.47, 1,569.15 and 782.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,137.47 : 1,569.15 = 782.82 : x
2. Step 2: Convert to fraction form
   1,137.47/1,569.15 = 782.82/x
3. Step 3: Cross multiply
   1,137.47x = 1,569.15 × 782.82
4. Step 4: Simplify right side
   1,137.47x = 1,228,362.00
5. Step 5: Solve for x
   x = 1,228,362.00/1,137.47
6. Step 6: Final answer
   x = 1,079.91