Finding the Fourth Proportional to 1,192.86, 1,644.54 and 1,026.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,192.86 : 1,644.54 = 1,026.72 : x
2. Step 2: Convert to fraction form
   1,192.86/1,644.54 = 1,026.72/x
3. Step 3: Cross multiply
   1,192.86x = 1,644.54 × 1,026.72
4. Step 4: Simplify right side
   1,192.86x = 1,688,482.11
5. Step 5: Solve for x
   x = 1,688,482.11/1,192.86
6. Step 6: Final answer
   x = 1,415.49