Finding the Fourth Proportional to 10,406.61, 14,361.03 and 5,690.93

Step by Step Solution

1. Step 1: Write the proportion equation
   10,406.61 : 14,361.03 = 5,690.93 : x
2. Step 2: Convert to fraction form
   10,406.61/14,361.03 = 5,690.93/x
3. Step 3: Cross multiply
   10,406.61x = 14,361.03 × 5,690.93
4. Step 4: Simplify right side
   10,406.61x = 81,727,616.46
5. Step 5: Solve for x
   x = 81,727,616.46/10,406.61
6. Step 6: Final answer
   x = 7,853.43