Finding the Fourth Proportional to 1,709.74, 2,561.42 and 977.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,709.74 : 2,561.42 = 977.10 : x
2. Step 2: Convert to fraction form
   1,709.74/2,561.42 = 977.10/x
3. Step 3: Cross multiply
   1,709.74x = 2,561.42 × 977.10
4. Step 4: Simplify right side
   1,709.74x = 2,502,763.48
5. Step 5: Solve for x
   x = 2,502,763.48/1,709.74
6. Step 6: Final answer
   x = 1,463.83