Finding the Fourth Proportional to 2,026.32, 2,795.88 and 1,186.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.32 : 2,795.88 = 1,186.80 : x
2. Step 2: Convert to fraction form
   2,026.32/2,795.88 = 1,186.80/x
3. Step 3: Cross multiply
   2,026.32x = 2,795.88 × 1,186.80
4. Step 4: Simplify right side
   2,026.32x = 3,318,150.38
5. Step 5: Solve for x
   x = 3,318,150.38/2,026.32
6. Step 6: Final answer
   x = 1,637.53