Finding the Fourth Proportional to 1,288.18, 1,777.98 and 914.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,288.18 : 1,777.98 = 914.77 : x
2. Step 2: Convert to fraction form
   1,288.18/1,777.98 = 914.77/x
3. Step 3: Cross multiply
   1,288.18x = 1,777.98 × 914.77
4. Step 4: Simplify right side
   1,288.18x = 1,626,442.76
5. Step 5: Solve for x
   x = 1,626,442.76/1,288.18
6. Step 6: Final answer
   x = 1,262.59