Finding the Fourth Proportional to 9,466.07, 13,062.87 and 5,638.01

Step by Step Solution

1. Step 1: Write the proportion equation
   9,466.07 : 13,062.87 = 5,638.01 : x
2. Step 2: Convert to fraction form
   9,466.07/13,062.87 = 5,638.01/x
3. Step 3: Cross multiply
   9,466.07x = 13,062.87 × 5,638.01
4. Step 4: Simplify right side
   9,466.07x = 73,648,526.37
5. Step 5: Solve for x
   x = 73,648,526.37/9,466.07
6. Step 6: Final answer
   x = 7,780.27