Finding the Fourth Proportional to 1,002.51, 1,382.74 and 774.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.51 : 1,382.74 = 774.56 : x
2. Step 2: Convert to fraction form
   1,002.51/1,382.74 = 774.56/x
3. Step 3: Cross multiply
   1,002.51x = 1,382.74 × 774.56
4. Step 4: Simplify right side
   1,002.51x = 1,071,016.61
5. Step 5: Solve for x
   x = 1,071,016.61/1,002.51
6. Step 6: Final answer
   x = 1,068.34