Finding the Fourth Proportional to 9,085.23, 12,537.18 and 5,106.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,085.23 : 12,537.18 = 5,106.71 : x
2. Step 2: Convert to fraction form
   9,085.23/12,537.18 = 5,106.71/x
3. Step 3: Cross multiply
   9,085.23x = 12,537.18 × 5,106.71
4. Step 4: Simplify right side
   9,085.23x = 64,023,773.82
5. Step 5: Solve for x
   x = 64,023,773.82/9,085.23
6. Step 6: Final answer
   x = 7,047.02