Finding the Fourth Proportional to 10,376.88, 14,320.53 and 5,661.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,376.88 : 14,320.53 = 5,661.42 : x
2. Step 2: Convert to fraction form
   10,376.88/14,320.53 = 5,661.42/x
3. Step 3: Cross multiply
   10,376.88x = 14,320.53 × 5,661.42
4. Step 4: Simplify right side
   10,376.88x = 81,074,534.95
5. Step 5: Solve for x
   x = 81,074,534.95/10,376.88
6. Step 6: Final answer
   x = 7,813.00