Finding the Fourth Proportional to 2,053.60, 2,834.06 and 1,157.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,053.60 : 2,834.06 = 1,157.40 : x
2. Step 2: Convert to fraction form
   2,053.60/2,834.06 = 1,157.40/x
3. Step 3: Cross multiply
   2,053.60x = 2,834.06 × 1,157.40
4. Step 4: Simplify right side
   2,053.60x = 3,280,141.04
5. Step 5: Solve for x
   x = 3,280,141.04/2,053.60
6. Step 6: Final answer
   x = 1,597.26