Finding the Fourth Proportional to 9,825.06, 13,558.95 and 5,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.06 : 13,558.95 = 5,632.50 : x
2. Step 2: Convert to fraction form
   9,825.06/13,558.95 = 5,632.50/x
3. Step 3: Cross multiply
   9,825.06x = 13,558.95 × 5,632.50
4. Step 4: Simplify right side
   9,825.06x = 76,370,785.88
5. Step 5: Solve for x
   x = 76,370,785.88/9,825.06
6. Step 6: Final answer
   x = 7,773.06