Finding the Fourth Proportional to 1,538.22, 2,123.25 and 1,224.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.22 : 2,123.25 = 1,224.06 : x
2. Step 2: Convert to fraction form
   1,538.22/2,123.25 = 1,224.06/x
3. Step 3: Cross multiply
   1,538.22x = 2,123.25 × 1,224.06
4. Step 4: Simplify right side
   1,538.22x = 2,598,985.40
5. Step 5: Solve for x
   x = 2,598,985.40/1,538.22
6. Step 6: Final answer
   x = 1,689.61