Finding the Fourth Proportional to 10,005.64, 13,807.83 and 5,468.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.64 : 13,807.83 = 5,468.41 : x
2. Step 2: Convert to fraction form
   10,005.64/13,807.83 = 5,468.41/x
3. Step 3: Cross multiply
   10,005.64x = 13,807.83 × 5,468.41
4. Step 4: Simplify right side
   10,005.64x = 75,506,875.65
5. Step 5: Solve for x
   x = 75,506,875.65/10,005.64
6. Step 6: Final answer
   x = 7,546.43