Finding the Fourth Proportional to 9,490.50, 13,097.16 and 5,299.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,490.50 : 13,097.16 = 5,299.02 : x
2. Step 2: Convert to fraction form
   9,490.50/13,097.16 = 5,299.02/x
3. Step 3: Cross multiply
   9,490.50x = 13,097.16 × 5,299.02
4. Step 4: Simplify right side
   9,490.50x = 69,402,112.78
5. Step 5: Solve for x
   x = 69,402,112.78/9,490.50
6. Step 6: Final answer
   x = 7,312.80