Finding the Fourth Proportional to 9,498.65, 13,106.75 and 5,963.00

Step by Step Solution

1. Step 1: Write the proportion equation
   9,498.65 : 13,106.75 = 5,963.00 : x
2. Step 2: Convert to fraction form
   9,498.65/13,106.75 = 5,963.00/x
3. Step 3: Cross multiply
   9,498.65x = 13,106.75 × 5,963.00
4. Step 4: Simplify right side
   9,498.65x = 78,155,454.90
5. Step 5: Solve for x
   x = 78,155,454.90/9,498.65
6. Step 6: Final answer
   x = 8,228.06