Finding the Fourth Proportional to 10,439.83, 14,407.01 and 5,659.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,439.83 : 14,407.01 = 5,659.78 : x
2. Step 2: Convert to fraction form
   10,439.83/14,407.01 = 5,659.78/x
3. Step 3: Cross multiply
   10,439.83x = 14,407.01 × 5,659.78
4. Step 4: Simplify right side
   10,439.83x = 81,540,507.06
5. Step 5: Solve for x
   x = 81,540,507.06/10,439.83
6. Step 6: Final answer
   x = 7,810.52