Finding the Fourth Proportional to 1,005.47, 1,386.50 and 866.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.47 : 1,386.50 = 866.06 : x
2. Step 2: Convert to fraction form
   1,005.47/1,386.50 = 866.06/x
3. Step 3: Cross multiply
   1,005.47x = 1,386.50 × 866.06
4. Step 4: Simplify right side
   1,005.47x = 1,200,780.93
5. Step 5: Solve for x
   x = 1,200,780.93/1,005.47
6. Step 6: Final answer
   x = 1,194.25