Finding the Fourth Proportional to 9,498.35, 14,251.63 and 5,114.93

Step by Step Solution

1. Step 1: Write the proportion equation
   9,498.35 : 14,251.63 = 5,114.93 : x
2. Step 2: Convert to fraction form
   9,498.35/14,251.63 = 5,114.93/x
3. Step 3: Cross multiply
   9,498.35x = 14,251.63 × 5,114.93
4. Step 4: Simplify right side
   9,498.35x = 72,896,117.70
5. Step 5: Solve for x
   x = 72,896,117.70/9,498.35
6. Step 6: Final answer
   x = 7,674.61