Finding the Fourth Proportional to 2,136.30, 3,200.64 and 1,162.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,136.30 : 3,200.64 = 1,162.98 : x
2. Step 2: Convert to fraction form
   2,136.30/3,200.64 = 1,162.98/x
3. Step 3: Cross multiply
   2,136.30x = 3,200.64 × 1,162.98
4. Step 4: Simplify right side
   2,136.30x = 3,722,280.31
5. Step 5: Solve for x
   x = 3,722,280.31/2,136.30
6. Step 6: Final answer
   x = 1,742.40