Finding the Fourth Proportional to 9,307.32, 12,846.06 and 5,902.13

Step by Step Solution

1. Step 1: Write the proportion equation
   9,307.32 : 12,846.06 = 5,902.13 : x
2. Step 2: Convert to fraction form
   9,307.32/12,846.06 = 5,902.13/x
3. Step 3: Cross multiply
   9,307.32x = 12,846.06 × 5,902.13
4. Step 4: Simplify right side
   9,307.32x = 75,819,051.88
5. Step 5: Solve for x
   x = 75,819,051.88/9,307.32
6. Step 6: Final answer
   x = 8,146.17