Finding the Fourth Proportional to 10,078.27, 13,909.14 and 5,602.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.27 : 13,909.14 = 5,602.45 : x
2. Step 2: Convert to fraction form
   10,078.27/13,909.14 = 5,602.45/x
3. Step 3: Cross multiply
   10,078.27x = 13,909.14 × 5,602.45
4. Step 4: Simplify right side
   10,078.27x = 77,925,240.63
5. Step 5: Solve for x
   x = 77,925,240.63/10,078.27
6. Step 6: Final answer
   x = 7,732.01