Finding the Fourth Proportional to 10,580.10, 14,595.63 and 7,438.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,580.10 : 14,595.63 = 7,438.14 : x
2. Step 2: Convert to fraction form
   10,580.10/14,595.63 = 7,438.14/x
3. Step 3: Cross multiply
   10,580.10x = 14,595.63 × 7,438.14
4. Step 4: Simplify right side
   10,580.10x = 108,564,339.33
5. Step 5: Solve for x
   x = 108,564,339.33/10,580.10
6. Step 6: Final answer
   x = 10,261.18