Finding the Fourth Proportional to 10,638.90, 14,681.56 and 5,858.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638.90 : 14,681.56 = 5,858.75 : x
2. Step 2: Convert to fraction form
   10,638.90/14,681.56 = 5,858.75/x
3. Step 3: Cross multiply
   10,638.90x = 14,681.56 × 5,858.75
4. Step 4: Simplify right side
   10,638.90x = 86,015,556.59
5. Step 5: Solve for x
   x = 86,015,556.59/10,638.90
6. Step 6: Final answer
   x = 8,085.00