Finding the Fourth Proportional to 1,538.37, 2,119.90 and 1,071.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.37 : 2,119.90 = 1,071.81 : x
2. Step 2: Convert to fraction form
   1,538.37/2,119.90 = 1,071.81/x
3. Step 3: Cross multiply
   1,538.37x = 2,119.90 × 1,071.81
4. Step 4: Simplify right side
   1,538.37x = 2,272,130.02
5. Step 5: Solve for x
   x = 2,272,130.02/1,538.37
6. Step 6: Final answer
   x = 1,476.97