Finding the Fourth Proportional to 10,030.66, 13,838.91 and 5,781.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,030.66 : 13,838.91 = 5,781.59 : x
2. Step 2: Convert to fraction form
   10,030.66/13,838.91 = 5,781.59/x
3. Step 3: Cross multiply
   10,030.66x = 13,838.91 × 5,781.59
4. Step 4: Simplify right side
   10,030.66x = 80,010,854.62
5. Step 5: Solve for x
   x = 80,010,854.62/10,030.66
6. Step 6: Final answer
   x = 7,976.63