Finding the Fourth Proportional to 3,775.59, 5,662.53 and 1,002.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,775.59 : 5,662.53 = 1,002.06 : x
2. Step 2: Convert to fraction form
   3,775.59/5,662.53 = 1,002.06/x
3. Step 3: Cross multiply
   3,775.59x = 5,662.53 × 1,002.06
4. Step 4: Simplify right side
   3,775.59x = 5,674,194.81
5. Step 5: Solve for x
   x = 5,674,194.81/3,775.59
6. Step 6: Final answer
   x = 1,502.86