Finding the Fourth Proportional to 1,784.34, 2,462.40 and 1,038.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,784.34 : 2,462.40 = 1,038.77 : x
2. Step 2: Convert to fraction form
   1,784.34/2,462.40 = 1,038.77/x
3. Step 3: Cross multiply
   1,784.34x = 2,462.40 × 1,038.77
4. Step 4: Simplify right side
   1,784.34x = 2,557,854.94
5. Step 5: Solve for x
   x = 2,557,854.94/1,784.34
6. Step 6: Final answer
   x = 1,433.50