Finding the Fourth Proportional to 1,477.57, 2,038.65 and 839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,477.57 : 2,038.65 = 839.50 : x
2. Step 2: Convert to fraction form
   1,477.57/2,038.65 = 839.50/x
3. Step 3: Cross multiply
   1,477.57x = 2,038.65 × 839.50
4. Step 4: Simplify right side
   1,477.57x = 1,711,451.77
5. Step 5: Solve for x
   x = 1,711,451.77/1,477.57
6. Step 6: Final answer
   x = 1,158.29