Finding the Fourth Proportional to 9,085.46, 12,538.08 and 5,106.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,085.46 : 12,538.08 = 5,106.56 : x
2. Step 2: Convert to fraction form
   9,085.46/12,538.08 = 5,106.56/x
3. Step 3: Cross multiply
   9,085.46x = 12,538.08 × 5,106.56
4. Step 4: Simplify right side
   9,085.46x = 64,026,457.80
5. Step 5: Solve for x
   x = 64,026,457.80/9,085.46
6. Step 6: Final answer
   x = 7,047.13