Finding the Fourth Proportional to 1,374.05, 1,896.21 and 784.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,374.05 : 1,896.21 = 784.77 : x
2. Step 2: Convert to fraction form
   1,374.05/1,896.21 = 784.77/x
3. Step 3: Cross multiply
   1,374.05x = 1,896.21 × 784.77
4. Step 4: Simplify right side
   1,374.05x = 1,488,088.72
5. Step 5: Solve for x
   x = 1,488,088.72/1,374.05
6. Step 6: Final answer
   x = 1,083.00