Finding the Fourth Proportional to 10,502.82, 14,493.80 and 5,787

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.82 : 14,493.80 = 5,787 : x
2. Step 2: Convert to fraction form
   10,502.82/14,493.80 = 5,787/x
3. Step 3: Cross multiply
   10,502.82x = 14,493.80 × 5,787
4. Step 4: Simplify right side
   10,502.82x = 83,875,635.07
5. Step 5: Solve for x
   x = 83,875,635.07/10,502.82
6. Step 6: Final answer
   x = 7,986.01