Finding the Fourth Proportional to 5,047.50, 7,571.52 and 1,585.02

Step by Step Solution

1. Step 1: Write the proportion equation
   5,047.50 : 7,571.52 = 1,585.02 : x
2. Step 2: Convert to fraction form
   5,047.50/7,571.52 = 1,585.02/x
3. Step 3: Cross multiply
   5,047.50x = 7,571.52 × 1,585.02
4. Step 4: Simplify right side
   5,047.50x = 12,001,010.63
5. Step 5: Solve for x
   x = 12,001,010.63/5,047.50
6. Step 6: Final answer
   x = 2,377.61