Finding the Fourth Proportional to 2,581.65, 3,870.77 and 938.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,581.65 : 3,870.77 = 938.00 : x
2. Step 2: Convert to fraction form
   2,581.65/3,870.77 = 938.00/x
3. Step 3: Cross multiply
   2,581.65x = 3,870.77 × 938.00
4. Step 4: Simplify right side
   2,581.65x = 3,630,787.25
5. Step 5: Solve for x
   x = 3,630,787.25/2,581.65
6. Step 6: Final answer
   x = 1,406.38