Finding the Fourth Proportional to 1,606.77, 2,216.78 and 977.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,606.77 : 2,216.78 = 977.10 : x
2. Step 2: Convert to fraction form
   1,606.77/2,216.78 = 977.10/x
3. Step 3: Cross multiply
   1,606.77x = 2,216.78 × 977.10
4. Step 4: Simplify right side
   1,606.77x = 2,166,015.74
5. Step 5: Solve for x
   x = 2,166,015.74/1,606.77
6. Step 6: Final answer
   x = 1,348.06