Finding the Fourth Proportional to 10,035.32, 13,848.64 and 5,784.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,035.32 : 13,848.64 = 5,784.82 : x
2. Step 2: Convert to fraction form
   10,035.32/13,848.64 = 5,784.82/x
3. Step 3: Cross multiply
   10,035.32x = 13,848.64 × 5,784.82
4. Step 4: Simplify right side
   10,035.32x = 80,111,889.64
5. Step 5: Solve for x
   x = 80,111,889.64/10,035.32
6. Step 6: Final answer
   x = 7,982.99