Finding the Fourth Proportional to 1,649.46, 2,472.56 and 784.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,649.46 : 2,472.56 = 784.38 : x
2. Step 2: Convert to fraction form
   1,649.46/2,472.56 = 784.38/x
3. Step 3: Cross multiply
   1,649.46x = 2,472.56 × 784.38
4. Step 4: Simplify right side
   1,649.46x = 1,939,426.61
5. Step 5: Solve for x
   x = 1,939,426.61/1,649.46
6. Step 6: Final answer
   x = 1,175.79