Finding the Fourth Proportional to 10,117.63, 13,962.57 and 5,580.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,117.63 : 13,962.57 = 5,580.37 : x
2. Step 2: Convert to fraction form
   10,117.63/13,962.57 = 5,580.37/x
3. Step 3: Cross multiply
   10,117.63x = 13,962.57 × 5,580.37
4. Step 4: Simplify right side
   10,117.63x = 77,916,303.28
5. Step 5: Solve for x
   x = 77,916,303.28/10,117.63
6. Step 6: Final answer
   x = 7,701.04