Finding the Fourth Proportional to 1,685.93, 2,326.71 and 977.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,685.93 : 2,326.71 = 977.96 : x
2. Step 2: Convert to fraction form
   1,685.93/2,326.71 = 977.96/x
3. Step 3: Cross multiply
   1,685.93x = 2,326.71 × 977.96
4. Step 4: Simplify right side
   1,685.93x = 2,275,429.31
5. Step 5: Solve for x
   x = 2,275,429.31/1,685.93
6. Step 6: Final answer
   x = 1,349.66