Finding the Fourth Proportional to 1,389.50, 2,081.93 and 977.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,389.50 : 2,081.93 = 977.77 : x
2. Step 2: Convert to fraction form
   1,389.50/2,081.93 = 977.77/x
3. Step 3: Cross multiply
   1,389.50x = 2,081.93 × 977.77
4. Step 4: Simplify right side
   1,389.50x = 2,035,645.94
5. Step 5: Solve for x
   x = 2,035,645.94/1,389.50
6. Step 6: Final answer
   x = 1,465.03