Finding the Fourth Proportional to 1,709.90, 2,357.64 and 1,460.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,709.90 : 2,357.64 = 1,460.42 : x
2. Step 2: Convert to fraction form
   1,709.90/2,357.64 = 1,460.42/x
3. Step 3: Cross multiply
   1,709.90x = 2,357.64 × 1,460.42
4. Step 4: Simplify right side
   1,709.90x = 3,443,144.61
5. Step 5: Solve for x
   x = 3,443,144.61/1,709.90
6. Step 6: Final answer
   x = 2,013.65