Finding the Fourth Proportional to 9,819.63, 13,549.38 and 5,842.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,819.63 : 13,549.38 = 5,842.02 : x
2. Step 2: Convert to fraction form
   9,819.63/13,549.38 = 5,842.02/x
3. Step 3: Cross multiply
   9,819.63x = 13,549.38 × 5,842.02
4. Step 4: Simplify right side
   9,819.63x = 79,155,777.85
5. Step 5: Solve for x
   x = 79,155,777.85/9,819.63
6. Step 6: Final answer
   x = 8,060.97