Finding the Fourth Proportional to 5,227.60, 7,838.72 and 1,762.32

Step by Step Solution

1. Step 1: Write the proportion equation
   5,227.60 : 7,838.72 = 1,762.32 : x
2. Step 2: Convert to fraction form
   5,227.60/7,838.72 = 1,762.32/x
3. Step 3: Cross multiply
   5,227.60x = 7,838.72 × 1,762.32
4. Step 4: Simplify right side
   5,227.60x = 13,814,333.03
5. Step 5: Solve for x
   x = 13,814,333.03/5,227.60
6. Step 6: Final answer
   x = 2,642.58