Finding the Fourth Proportional to 9,975.20, 13,764.84 and 5,783

Step by Step Solution

1. Step 1: Write the proportion equation
   9,975.20 : 13,764.84 = 5,783 : x
2. Step 2: Convert to fraction form
   9,975.20/13,764.84 = 5,783/x
3. Step 3: Cross multiply
   9,975.20x = 13,764.84 × 5,783
4. Step 4: Simplify right side
   9,975.20x = 79,602,069.72
5. Step 5: Solve for x
   x = 79,602,069.72/9,975.20
6. Step 6: Final answer
   x = 7,980.00