Finding the Fourth Proportional to 1,264.86, 1,894.46 and 972.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,264.86 : 1,894.46 = 972.72 : x
2. Step 2: Convert to fraction form
   1,264.86/1,894.46 = 972.72/x
3. Step 3: Cross multiply
   1,264.86x = 1,894.46 × 972.72
4. Step 4: Simplify right side
   1,264.86x = 1,842,774.27
5. Step 5: Solve for x
   x = 1,842,774.27/1,264.86
6. Step 6: Final answer
   x = 1,456.90