Finding the Fourth Proportional to 7,842.30, 10,827.72 and 5,485.20

Step by Step Solution

1. Step 1: Write the proportion equation
   7,842.30 : 10,827.72 = 5,485.20 : x
2. Step 2: Convert to fraction form
   7,842.30/10,827.72 = 5,485.20/x
3. Step 3: Cross multiply
   7,842.30x = 10,827.72 × 5,485.20
4. Step 4: Simplify right side
   7,842.30x = 59,392,209.74
5. Step 5: Solve for x
   x = 59,392,209.74/7,842.30
6. Step 6: Final answer
   x = 7,573.32