Finding the Fourth Proportional to 1,385.67, 2,086.58 and 1,023

Step by Step Solution

1. Step 1: Write the proportion equation
   1,385.67 : 2,086.58 = 1,023 : x
2. Step 2: Convert to fraction form
   1,385.67/2,086.58 = 1,023/x
3. Step 3: Cross multiply
   1,385.67x = 2,086.58 × 1,023
4. Step 4: Simplify right side
   1,385.67x = 2,134,566.23
5. Step 5: Solve for x
   x = 2,134,566.23/1,385.67
6. Step 6: Final answer
   x = 1,540.46