Finding the Fourth Proportional to 9,254.95, 13,876.25 and 5,096.93

Step by Step Solution

1. Step 1: Write the proportion equation
   9,254.95 : 13,876.25 = 5,096.93 : x
2. Step 2: Convert to fraction form
   9,254.95/13,876.25 = 5,096.93/x
3. Step 3: Cross multiply
   9,254.95x = 13,876.25 × 5,096.93
4. Step 4: Simplify right side
   9,254.95x = 70,726,180.05
5. Step 5: Solve for x
   x = 70,726,180.05/9,254.95
6. Step 6: Final answer
   x = 7,641.99