Finding the Fourth Proportional to 1,105.82, 1,525.63 and 686.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.82 : 1,525.63 = 686.51 : x
2. Step 2: Convert to fraction form
   1,105.82/1,525.63 = 686.51/x
3. Step 3: Cross multiply
   1,105.82x = 1,525.63 × 686.51
4. Step 4: Simplify right side
   1,105.82x = 1,047,360.25
5. Step 5: Solve for x
   x = 1,047,360.25/1,105.82
6. Step 6: Final answer
   x = 947.13