Finding the Fourth Proportional to 9,384.12, 12,951.80 and 5,407.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,384.12 : 12,951.80 = 5,407.63 : x
2. Step 2: Convert to fraction form
   9,384.12/12,951.80 = 5,407.63/x
3. Step 3: Cross multiply
   9,384.12x = 12,951.80 × 5,407.63
4. Step 4: Simplify right side
   9,384.12x = 70,038,503.09
5. Step 5: Solve for x
   x = 70,038,503.09/9,384.12
6. Step 6: Final answer
   x = 7,463.51