Finding the Fourth Proportional to 10,477.32, 14,458.97 and 5,697.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,477.32 : 14,458.97 = 5,697.59 : x
2. Step 2: Convert to fraction form
   10,477.32/14,458.97 = 5,697.59/x
3. Step 3: Cross multiply
   10,477.32x = 14,458.97 × 5,697.59
4. Step 4: Simplify right side
   10,477.32x = 82,381,182.10
5. Step 5: Solve for x
   x = 82,381,182.10/10,477.32
6. Step 6: Final answer
   x = 7,862.81