Finding the Fourth Proportional to 10,131.90, 13,982.01 and 5,655.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,131.90 : 13,982.01 = 5,655.63 : x
2. Step 2: Convert to fraction form
   10,131.90/13,982.01 = 5,655.63/x
3. Step 3: Cross multiply
   10,131.90x = 13,982.01 × 5,655.63
4. Step 4: Simplify right side
   10,131.90x = 79,077,075.22
5. Step 5: Solve for x
   x = 79,077,075.22/10,131.90
6. Step 6: Final answer
   x = 7,804.76