Finding the Fourth Proportional to 1,574.31, 2,345.87 and 1,402.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,574.31 : 2,345.87 = 1,402.05 : x
2. Step 2: Convert to fraction form
   1,574.31/2,345.87 = 1,402.05/x
3. Step 3: Cross multiply
   1,574.31x = 2,345.87 × 1,402.05
4. Step 4: Simplify right side
   1,574.31x = 3,289,020.02
5. Step 5: Solve for x
   x = 3,289,020.02/1,574.31
6. Step 6: Final answer
   x = 2,089.18