Finding the Fourth Proportional to 10,251.42, 14,148.30 and 5,776.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,251.42 : 14,148.30 = 5,776.05 : x
2. Step 2: Convert to fraction form
   10,251.42/14,148.30 = 5,776.05/x
3. Step 3: Cross multiply
   10,251.42x = 14,148.30 × 5,776.05
4. Step 4: Simplify right side
   10,251.42x = 81,721,288.22
5. Step 5: Solve for x
   x = 81,721,288.22/10,251.42
6. Step 6: Final answer
   x = 7,971.70