Finding the Fourth Proportional to 1,538.50, 2,123.13 and 987.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.50 : 2,123.13 = 987.46 : x
2. Step 2: Convert to fraction form
   1,538.50/2,123.13 = 987.46/x
3. Step 3: Cross multiply
   1,538.50x = 2,123.13 × 987.46
4. Step 4: Simplify right side
   1,538.50x = 2,096,505.95
5. Step 5: Solve for x
   x = 2,096,505.95/1,538.50
6. Step 6: Final answer
   x = 1,362.69