Finding the Fourth Proportional to 10,415.01, 14,372.17 and 5,698.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,415.01 : 14,372.17 = 5,698.38 : x
2. Step 2: Convert to fraction form
   10,415.01/14,372.17 = 5,698.38/x
3. Step 3: Cross multiply
   10,415.01x = 14,372.17 × 5,698.38
4. Step 4: Simplify right side
   10,415.01x = 81,898,125.73
5. Step 5: Solve for x
   x = 81,898,125.73/10,415.01
6. Step 6: Final answer
   x = 7,863.47