Finding the Fourth Proportional to 10,705.38, 14,778.60 and 7,126.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,705.38 : 14,778.60 = 7,126.30 : x
2. Step 2: Convert to fraction form
   10,705.38/14,778.60 = 7,126.30/x
3. Step 3: Cross multiply
   10,705.38x = 14,778.60 × 7,126.30
4. Step 4: Simplify right side
   10,705.38x = 105,316,737.18
5. Step 5: Solve for x
   x = 105,316,737.18/10,705.38
6. Step 6: Final answer
   x = 9,837.74