Finding the Fourth Proportional to 1,288.01, 1,776.77 and 784.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,288.01 : 1,776.77 = 784.02 : x
2. Step 2: Convert to fraction form
   1,288.01/1,776.77 = 784.02/x
3. Step 3: Cross multiply
   1,288.01x = 1,776.77 × 784.02
4. Step 4: Simplify right side
   1,288.01x = 1,393,025.18
5. Step 5: Solve for x
   x = 1,393,025.18/1,288.01
6. Step 6: Final answer
   x = 1,081.53