Finding the Fourth Proportional to 1,288.61, 1,932.91 and 314.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,288.61 : 1,932.91 = 314.71 : x
2. Step 2: Convert to fraction form
   1,288.61/1,932.91 = 314.71/x
3. Step 3: Cross multiply
   1,288.61x = 1,932.91 × 314.71
4. Step 4: Simplify right side
   1,288.61x = 608,300.49
5. Step 5: Solve for x
   x = 608,300.49/1,288.61
6. Step 6: Final answer
   x = 472.06