Finding the Fourth Proportional to 1,927.30, 2,662.50 and 1,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,927.30 : 2,662.50 = 1,538.50 : x
2. Step 2: Convert to fraction form
   1,927.30/2,662.50 = 1,538.50/x
3. Step 3: Cross multiply
   1,927.30x = 2,662.50 × 1,538.50
4. Step 4: Simplify right side
   1,927.30x = 4,096,256.25
5. Step 5: Solve for x
   x = 4,096,256.25/1,927.30
6. Step 6: Final answer
   x = 2,125.39