Finding the Fourth Proportional to 9,848.32, 14,768.15 and 3,688

Step by Step Solution

1. Step 1: Write the proportion equation
   9,848.32 : 14,768.15 = 3,688 : x
2. Step 2: Convert to fraction form
   9,848.32/14,768.15 = 3,688/x
3. Step 3: Cross multiply
   9,848.32x = 14,768.15 × 3,688
4. Step 4: Simplify right side
   9,848.32x = 54,464,937.20
5. Step 5: Solve for x
   x = 54,464,937.20/9,848.32
6. Step 6: Final answer
   x = 5,530.38