Finding the Fourth Proportional to 1,830.10, 2,528.42 and 1,200.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,830.10 : 2,528.42 = 1,200.40 : x
2. Step 2: Convert to fraction form
   1,830.10/2,528.42 = 1,200.40/x
3. Step 3: Cross multiply
   1,830.10x = 2,528.42 × 1,200.40
4. Step 4: Simplify right side
   1,830.10x = 3,035,115.37
5. Step 5: Solve for x
   x = 3,035,115.37/1,830.10
6. Step 6: Final answer
   x = 1,658.44