Finding the Fourth Proportional to 9,981.84, 13,776.12 and 5,790.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,981.84 : 13,776.12 = 5,790.24 : x
2. Step 2: Convert to fraction form
   9,981.84/13,776.12 = 5,790.24/x
3. Step 3: Cross multiply
   9,981.84x = 13,776.12 × 5,790.24
4. Step 4: Simplify right side
   9,981.84x = 79,767,041.07
5. Step 5: Solve for x
   x = 79,767,041.07/9,981.84
6. Step 6: Final answer
   x = 7,991.22