Finding the Fourth Proportional to 10,091.12, 13,925.57 and 5,614.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,091.12 : 13,925.57 = 5,614.74 : x
2. Step 2: Convert to fraction form
   10,091.12/13,925.57 = 5,614.74/x
3. Step 3: Cross multiply
   10,091.12x = 13,925.57 × 5,614.74
4. Step 4: Simplify right side
   10,091.12x = 78,188,426.83
5. Step 5: Solve for x
   x = 78,188,426.83/10,091.12
6. Step 6: Final answer
   x = 7,748.24