Finding the Fourth Proportional to 1,374.48, 1,896.24 and 784.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,374.48 : 1,896.24 = 784.56 : x
2. Step 2: Convert to fraction form
   1,374.48/1,896.24 = 784.56/x
3. Step 3: Cross multiply
   1,374.48x = 1,896.24 × 784.56
4. Step 4: Simplify right side
   1,374.48x = 1,487,714.05
5. Step 5: Solve for x
   x = 1,487,714.05/1,374.48
6. Step 6: Final answer
   x = 1,082.38