Finding the Fourth Proportional to 9,085.64, 12,539.04 and 5,106.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,085.64 : 12,539.04 = 5,106.56 : x
2. Step 2: Convert to fraction form
   9,085.64/12,539.04 = 5,106.56/x
3. Step 3: Cross multiply
   9,085.64x = 12,539.04 × 5,106.56
4. Step 4: Simplify right side
   9,085.64x = 64,031,360.10
5. Step 5: Solve for x
   x = 64,031,360.10/9,085.64
6. Step 6: Final answer
   x = 7,047.53