Finding the Fourth Proportional to 9,106.58, 12,566.88 and 5,128.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,106.58 : 12,566.88 = 5,128.14 : x
2. Step 2: Convert to fraction form
   9,106.58/12,566.88 = 5,128.14/x
3. Step 3: Cross multiply
   9,106.58x = 12,566.88 × 5,128.14
4. Step 4: Simplify right side
   9,106.58x = 64,444,720.00
5. Step 5: Solve for x
   x = 64,444,720.00/9,106.58
6. Step 6: Final answer
   x = 7,076.72