Finding the Fourth Proportional to 1,838.84, 2,538.24 and 1,200.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,838.84 : 2,538.24 = 1,200.80 : x
2. Step 2: Convert to fraction form
   1,838.84/2,538.24 = 1,200.80/x
3. Step 3: Cross multiply
   1,838.84x = 2,538.24 × 1,200.80
4. Step 4: Simplify right side
   1,838.84x = 3,047,918.59
5. Step 5: Solve for x
   x = 3,047,918.59/1,838.84
6. Step 6: Final answer
   x = 1,657.52