Finding the Fourth Proportional to 9,471.81, 13,070.96 and 5,492.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,471.81 : 13,070.96 = 5,492.82 : x
2. Step 2: Convert to fraction form
   9,471.81/13,070.96 = 5,492.82/x
3. Step 3: Cross multiply
   9,471.81x = 13,070.96 × 5,492.82
4. Step 4: Simplify right side
   9,471.81x = 71,796,365.15
5. Step 5: Solve for x
   x = 71,796,365.15/9,471.81
6. Step 6: Final answer
   x = 7,580.01