Finding the Fourth Proportional to 1,288.28, 1,776.66 and 846.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,288.28 : 1,776.66 = 846.02 : x
2. Step 2: Convert to fraction form
   1,288.28/1,776.66 = 846.02/x
3. Step 3: Cross multiply
   1,288.28x = 1,776.66 × 846.02
4. Step 4: Simplify right side
   1,288.28x = 1,503,089.89
5. Step 5: Solve for x
   x = 1,503,089.89/1,288.28
6. Step 6: Final answer
   x = 1,166.74