Finding the Fourth Proportional to 5,864.01, 8,091.59 and 4,672.02

Step by Step Solution

1. Step 1: Write the proportion equation
   5,864.01 : 8,091.59 = 4,672.02 : x
2. Step 2: Convert to fraction form
   5,864.01/8,091.59 = 4,672.02/x
3. Step 3: Cross multiply
   5,864.01x = 8,091.59 × 4,672.02
4. Step 4: Simplify right side
   5,864.01x = 37,804,050.08
5. Step 5: Solve for x
   x = 37,804,050.08/5,864.01
6. Step 6: Final answer
   x = 6,446.79