Finding the Fourth Proportional to 9,109.46, 13,665.63 and 3,188.00

Step by Step Solution

1. Step 1: Write the proportion equation
   9,109.46 : 13,665.63 = 3,188.00 : x
2. Step 2: Convert to fraction form
   9,109.46/13,665.63 = 3,188.00/x
3. Step 3: Cross multiply
   9,109.46x = 13,665.63 × 3,188.00
4. Step 4: Simplify right side
   9,109.46x = 43,565,960.11
5. Step 5: Solve for x
   x = 43,565,960.11/9,109.46
6. Step 6: Final answer
   x = 4,782.50