Finding the Fourth Proportional to 1,868.47, 2,802.72 and 772.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,868.47 : 2,802.72 = 772.82 : x
2. Step 2: Convert to fraction form
   1,868.47/2,802.72 = 772.82/x
3. Step 3: Cross multiply
   1,868.47x = 2,802.72 × 772.82
4. Step 4: Simplify right side
   1,868.47x = 2,165,998.07
5. Step 5: Solve for x
   x = 2,165,998.07/1,868.47
6. Step 6: Final answer
   x = 1,159.24