Finding the Fourth Proportional to 1,540.71, 2,308.32 and 1,174.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.71 : 2,308.32 = 1,174.38 : x
2. Step 2: Convert to fraction form
   1,540.71/2,308.32 = 1,174.38/x
3. Step 3: Cross multiply
   1,540.71x = 2,308.32 × 1,174.38
4. Step 4: Simplify right side
   1,540.71x = 2,710,844.84
5. Step 5: Solve for x
   x = 2,710,844.84/1,540.71
6. Step 6: Final answer
   x = 1,759.48