Finding the Fourth Proportional to 10,152.18, 14,009.42 and 5,614.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152.18 : 14,009.42 = 5,614.59 : x
2. Step 2: Convert to fraction form
   10,152.18/14,009.42 = 5,614.59/x
3. Step 3: Cross multiply
   10,152.18x = 14,009.42 × 5,614.59
4. Step 4: Simplify right side
   10,152.18x = 78,657,079.39
5. Step 5: Solve for x
   x = 78,657,079.39/10,152.18
6. Step 6: Final answer
   x = 7,747.81