Finding the Fourth Proportional to 5,632.50, 7,773.06 and 3,643.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,632.50 : 7,773.06 = 3,643.06 : x
2. Step 2: Convert to fraction form
   5,632.50/7,773.06 = 3,643.06/x
3. Step 3: Cross multiply
   5,632.50x = 7,773.06 × 3,643.06
4. Step 4: Simplify right side
   5,632.50x = 28,317,717.40
5. Step 5: Solve for x
   x = 28,317,717.40/5,632.50
6. Step 6: Final answer
   x = 5,027.55