Finding the Fourth Proportional to 1,780.88, 2,457.61 and 1,192.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,780.88 : 2,457.61 = 1,192.82 : x
2. Step 2: Convert to fraction form
   1,780.88/2,457.61 = 1,192.82/x
3. Step 3: Cross multiply
   1,780.88x = 2,457.61 × 1,192.82
4. Step 4: Simplify right side
   1,780.88x = 2,931,471.09
5. Step 5: Solve for x
   x = 2,931,471.09/1,780.88
6. Step 6: Final answer
   x = 1,646.08