Finding the Fourth Proportional to 1,409.58, 2,113.83 and 975.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.58 : 2,113.83 = 975.42 : x
2. Step 2: Convert to fraction form
   1,409.58/2,113.83 = 975.42/x
3. Step 3: Cross multiply
   1,409.58x = 2,113.83 × 975.42
4. Step 4: Simplify right side
   1,409.58x = 2,061,872.06
5. Step 5: Solve for x
   x = 2,061,872.06/1,409.58
6. Step 6: Final answer
   x = 1,462.76