Finding the Fourth Proportional to 10,526.46, 14,526.30 and 5,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,526.46 : 14,526.30 = 5,746.50 : x
2. Step 2: Convert to fraction form
   10,526.46/14,526.30 = 5,746.50/x
3. Step 3: Cross multiply
   10,526.46x = 14,526.30 × 5,746.50
4. Step 4: Simplify right side
   10,526.46x = 83,475,382.95
5. Step 5: Solve for x
   x = 83,475,382.95/10,526.46
6. Step 6: Final answer
   x = 7,930.05