Finding the Fourth Proportional to 9,385.89, 12,953.42 and 5,407.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,385.89 : 12,953.42 = 5,407.84 : x
2. Step 2: Convert to fraction form
   9,385.89/12,953.42 = 5,407.84/x
3. Step 3: Cross multiply
   9,385.89x = 12,953.42 × 5,407.84
4. Step 4: Simplify right side
   9,385.89x = 70,050,022.81
5. Step 5: Solve for x
   x = 70,050,022.81/9,385.89
6. Step 6: Final answer
   x = 7,463.33