Finding the Fourth Proportional to 1,065.84, 1,469.51 and 687.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.84 : 1,469.51 = 687.07 : x
2. Step 2: Convert to fraction form
   1,065.84/1,469.51 = 687.07/x
3. Step 3: Cross multiply
   1,065.84x = 1,469.51 × 687.07
4. Step 4: Simplify right side
   1,065.84x = 1,009,648.89
5. Step 5: Solve for x
   x = 1,009,648.89/1,065.84
6. Step 6: Final answer
   x = 947.28