Finding the Fourth Proportional to 2,471.31, 3,701.50 and 1,006.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,471.31 : 3,701.50 = 1,006.02 : x
2. Step 2: Convert to fraction form
   2,471.31/3,701.50 = 1,006.02/x
3. Step 3: Cross multiply
   2,471.31x = 3,701.50 × 1,006.02
4. Step 4: Simplify right side
   2,471.31x = 3,723,780.51
5. Step 5: Solve for x
   x = 3,723,780.51/2,471.31
6. Step 6: Final answer
   x = 1,506.80